Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

Trigonometry Practice Paper with Answers

ffImage
banner
widget title icon
Latest Updates

widget icon
Start Your JEE Practice Here :
JEE Test Series 2026

How to Solve Trigonometry Problems Step by Step

Understanding the role of Trigonometry Practice Paper is essential for JEE Main students, as it covers the study of angles, trigonometric ratios, identities, and their applications in solving complex geometric and trigonometric problems.


Category:

JEE Main Practice Paper

Content-Type:

Text, Images, Videos and PDF

Exam:

JEE Main

Chapter Name:

Trigonometry

Academic Session:

2026

Medium:

English Medium

Subject:

Mathematics

Available Material:

Chapter-wise Practice paper with PDF


Vedantu understands the major role of the Trigonometry in Practice Papers in JEE Main Maths preparation and offers a FREE PDF download for students. This invaluable resource is meticulously prepared for chapter-wise practice, guaranteeing a comprehensive understanding of essential topics. By taking this opportunity at no expense, you can expand your knowledge and bolster your confidence in approaching questions with precision. Detailed solutions and answer keys are included to resolve doubts and guide you through the step-wise process of question-solving. Moreover, practicing Vedantu’s Trigonometry Practice Paper for JEE Main can enhance your question-solving speed.


Prepare to solve 2 or more questions from the Trigonometry chapter in the JEE Main Exam. To understand its importance, find the table detailing the weightage of the Trigonometry chapter in the past five years of the JEE Main Exam.


Year

Weightage of JEE Main Questions From Trigonometry

2023

6%

2022

7%

2021

6%

2020

7%

2019

7%


Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Trigonometry Practice Paper today to excel in your JEE Main exams!

Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Maths, Physics, and Chemistry—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Physics, as well as Chemistry Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for the JEE Main Subject-wise Practice Paper.


Subject-wise Links For JEE Main Practice Paper

JEE Main Chemistry Practice Paper

JEE Main Physics Practice Paper


Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers need to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.



Important Topics From Trigonometry for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Trigonometry. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper on Trigonometry. Here are some of the important topics of the Trigonometry.


  • Trigonometric Identities

Understanding and applying fundamental trigonometric identities like Pythagorean identities, reciprocal identities, and quotient identities to simplify expressions and solve equations.


  • Trigonometric Functions

Exploring the properties and graphs of trigonometric functions such as sine, cosine, and tangent, along with their amplitude, period, and phase shift.


  • Trigonometric Equations and Inequalities

Solving trigonometric equations and inequalities involving trigonometric functions and understanding their solutions within given intervals.


  • Applications of Trigonometry

Applying trigonometric concepts to solve real-world problems related to angles of elevation and depression, periodic phenomena, and harmonic motion.


  • Inverse Trigonometric Functions

Studying inverse trigonometric functions like arcsin, arccos, and arctan, and their applications in solving trigonometric equations and modeling real-world situations.


Equations To Score More in Practice Paper of JEE Main Trigonometry

Equations are the base for solving the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out the Practice Paper of JEE Main Trigonometry.


  • Sine Rule:

$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$


  • Cosine Rule (Law of Cosines):

$a^2 = b^2 + c^2 - 2bc \cdot \cos A$


  • Tangent of Half-Angle Formula:

$\tan\left(\frac{A}{2}\right) = \frac{\sin A}{1 + \cos A}$


  • Double Angle Formulas:

$\sin(2A) = 2\sin A \cos A$


$\cos(2A) = \cos^2 A - \sin^2 A$


$\tan(2A) = \frac{2\tan A}{1 - \tan^2 A}$


  • Sum and Difference of Angles Formulas:

$\sin(A \pm B) = \sin A \cos B \pm \cos A \sin B$


$\cos(A \pm B) = \cos A \cos B \mp \sin A \sin B$


$\tan(A \pm B) = \frac{\tan A \pm \tan B}{1 \mp \tan A \tan B}$

   

For more formulas and equations you can refer to Vedantu’s JEE Main Formula page.


What Makes Vedantu’s Practice Paper PDF of JEE Main Trigonometry Different?

Practice Paper for JEE Main serves as a resource for students who prepare for the exam, by offering questions structured in the same manner as the JEE Main exam. Vedantu’s JEE Main Practice Papers stand as the immediate post-chapter learning companion. Now, let’s delve into the distinctive traits of Vedantu’s Trigonometry Practice Paper for JEE Main.


  • Quality Content: Vedantu's Practice Paper for Trigonometry is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

  • Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from the Trigonometry, allowing students to thoroughly practice and master each topic.

  • Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Trigonometry JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

  • User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

  • Accessibility: Vedantu's Practice Papers are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.


How To Prepare For JEE Main With Trigonometry Practice Paper?

Vedantu’s Trigonometry JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF, you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam.


  1. Download the Daily Practice Paper of JEE Main Trigonometry.

  2. You can set a timer of 1 hour.

  3. Solve the easy questions first and give time for tough questions.

  4. Note your answers on a sheet of paper and check with the answer key.

  5. Each question carries 4 marks and gives a negative mark of -1 for each question.

  6. Now calculate the score and analyse yourself. 

  7. You can take the help of detailed solutions given in the PDF for better clarity of questions and answers. 

  8. Learn how to do the incorrect answers and practice the questions again.

  9. Make a note of the time you take for each question to practice. 


When to Start Preparing With JEE Main Practice Paper of Trigonometry?

To maximize your JEE Main preparation and increase your chances of success in the exams, it's advisable to start your JEE Main Practice Paper of Trigonometry preparation early in your academic journey. This approach ensures thorough subject mastery and sufficient time for revision. Follow this timeline to effectively utilize the Daily Practice Paper.


  • Foundation Building (1-2 Years Prior): Start with foundational studies and build a strong understanding of the core concepts in Trigonometry.

  • Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating the Practice Paper of JEE Main Trigonometry into your routine. 

  • Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take a full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.


Additional Materials To Cover With  JEE Main Trigonometry Practice Paper

After learning the Trigonometry chapter, you need to make sure that you are mastering the contents you learn so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision of the Trigonometry, you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.



Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Trigonometry, you can test your online skills for JEE Main Maths. Vedantu is also providing you with an online practice paper test where you can get a real experience of attempting the JEE Main Exam.



Mastering Trigonometry With JEE Main Practice Paper

The JEE Main Trigonometry Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer keys help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Trigonometry Daily Practice Paper for FREE!


JEE Mains Sample Paper: Trigonometry

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2026 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Trigonometry chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.


With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

WhatsApp Banner

FAQs on Trigonometry Practice Paper with Answers

1. What is trigonometry and why is it important in mathematics?

Trigonometry is the branch of mathematics that studies relationships between angles and sides of triangles, especially right-angled triangles. Its importance lies in its applications across science, engineering, physics, navigation, and daily calculations, as it helps solve real-world problems involving heights, distances, and angles.

Key points:

  • Deals with angles and side lengths in triangles
  • Uses sine, cosine, and tangent ratios
  • Foundational for many advanced mathematical concepts and exams
  • Essential in fields like architecture, surveying, and physics

2. What are the six trigonometric ratios?

The six trigonometric ratios are mathematical relationships used to relate the angles and sides of a right-angled triangle. They are:

  • Sine (sin θ) = Opposite / Hypotenuse
  • Cosine (cos θ) = Adjacent / Hypotenuse
  • Tangent (tan θ) = Opposite / Adjacent
  • Cosecant (csc θ) = 1/sin θ = Hypotenuse / Opposite
  • Secant (sec θ) = 1/cos θ = Hypotenuse / Adjacent
  • Cotangent (cot θ) = 1/tan θ = Adjacent / Opposite
These ratios are essential for solving trigonometric problems and appear frequently in CBSE mathematics exams.

3. How do you remember the values of trigonometric ratios for standard angles?

Standard angle values in trigonometry (like 0°, 30°, 45°, 60°, 90°) can be easily remembered using simple patterns and tables.

Tips to remember:

  • Memorise the standard angle table for sin, cos, and tan
  • Use the 0-4 pattern under square roots for sin θ and reverse for cos θ
  • For tan θ, divide sin θ by cos θ
This helps in fast retrieval during exams, matching CBSE syllabus requirements.

4. What is the Pythagorean identity in trigonometry?

The Pythagorean identity is a fundamental trigonometric relationship stating that for any angle θ:

  • sin²θ + cos²θ = 1
  • Other forms: 1 + tan²θ = sec²θ and 1 + cot²θ = csc²θ
This identity is crucial in simplifying expressions and solving trigonometric problems in CBSE mathematics.

5. How can trigonometry be applied to solve real-life problems?

Trigonometry is widely used to solve real-life problems that involve distances, heights, and angles.

Examples:

  • Finding heights of towers and trees without directly measuring them
  • Calculating distances between distant objects using angles of elevation or depression
  • Navigation and construction to determine correct angles and measurements
  • Used in engineering, physics, and geography projects
This practical application makes trigonometry a vital topic for CBSE examinations.

6. What is the formula for finding the area of a triangle using trigonometry?

The area of a triangle can be calculated using trigonometry when two sides and the included angle are known.

Formula:

  • Area = ½ ab sin C
where a and b are sides of the triangle and C is the included angle. This formula often appears in class 10 CBSE problems.

7. What do sine, cosine, and tangent represent in a right triangle?

In a right-angled triangle, sine, cosine, and tangent are ratios that compare the lengths of different sides.

  • Sine (sin θ): Ratio of the length of the side opposite to angle θ to the hypotenuse
  • Cosine (cos θ): Ratio of adjacent side to hypotenuse
  • Tangent (tan θ): Ratio of opposite side to adjacent side
Understanding these helps in solving textbook and board exam problems swiftly.

8. How do you solve trigonometric problems involving angles of elevation and depression?

Problems involving angles of elevation and depression require applying trigonometric ratios to real-world heights and distances.

  • Draw clear diagrams showing positions and angles
  • Use tan θ, sin θ, or cos θ as appropriate
  • Arrange known and unknown values according to the question
  • Solve for the unknown using algebraic steps
This technique is essential for scoring in word problems on CBSE exams.

9. What are the applications of trigonometry in different fields?

Trigonometry has important applications in many disciplines beyond mathematics.

  • Engineering: For design, measurement, and analysis of structures
  • Physics: To study waves, oscillations, and forces
  • Geography: In mapping and navigation
  • Astronomy: For calculating distances between celestial bodies
Its wide application makes it a critical chapter in the CBSE syllabus.

10. Is it necessary to memorise all trigonometric formulas for the CBSE exam?

Memorising key trigonometric formulas is crucial for success in the CBSE exam.

  • Frequently used formulas include trigonometric ratios, identities, and standard angle values
  • Memory aids and practise help recall in the exam
  • Understanding concepts along with memorisation allows accurate application
This boosts both speed and accuracy in solving problems.