Master Trigonometry with Our Class 10 MCQ Mock Test!

Struggling with Trigonometry? Test your understanding and sharpen your skills with our Class 10 Maths Chapter 8 – Introduction to Trigonometry MCQ Mock Test!

This test covers all essential concepts — from trigonometric ratios of acute angles, fundamental identities, and complementary angles to applications in right-angled triangles. Each question is designed to boost your reasoning, calculation speed, and exam confidence.

What You’ll Get:

  • A wide range of MCQs covering all key formulas and concepts.
  • Step-by-step explanations for better conceptual clarity.
  • Instant results and performance analysis to track your preparation.
  • Practice that enhances accuracy, speed, and confidence in solving trigonometry problems.

Why Attempt This Test?
Because Trigonometry is a vital part of the Maths syllabus and appears frequently in exams. Practicing with this mock test ensures you can solve every question confidently.

Attempt the test now and become a pro at Trigonometry!

1. In the following questions, a statement of assertion (A) is followed by a statement of Reason (R). Choose the correct answer out of the following choices.

Assertion (A): In a ΔABC, right angled at B, if sin A =then cos A =  and tan A =

Reason (R): For acute angle θ, cos θ = and tan θ =

 
 
 
 

2. tan A =

 
 
 
 

3. If sin θ =  cos θ, 0° < θ < 90°, then θ is equal to

 
 
 
 

4. If tan θ =  then the value of  is

 
 
 
 

5.

 
 
 
 

6. If cos 9α = sin α and 9α < 90°, then the value of tan 5α is

 
 
 
 

7. The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30°. The distance of the car from the base of the tower (in m) is:

 
 
 
 

8. The value of sin2 30° – cos2 30° is

 
 
 
 

9. A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is

 
 
 
 

10. Ratios of sides of a right triangle with respect to its acute angles are known as

 
 
 
 

11. If sin θ – cos θ = 0, then the value of (sin4 θ + cos4 θ) is

 
 
 
 

12.

 
 
 
 

13.

 
 
 
 

14. In the following questions, a statement of assertion (A) is followed by a statement of Reason (R). Choose the correct answer out of the following choices.

Assertion (A): The value of each of the trigonometric ratios of an angle do not vary with the lengths of the sides of the triangle, if the angle remains the same.

Reason (R): In right ΔABC, ∠B = 90° and ∠A = θ, sin θ = < 1 and cos θ =  1 as hypotenuse is the longest side.

 
 
 
 

15. If 3 cot θ = 2, then the value of tan θ

 
 
 
 

16. sec A =

 
 
 
 

17. If ΔABC is right angled at C, then the value of cos (A + B) is

 
 
 
 

18. If 0° < θ < 90°, then sec θ is

 
 
 
 

19. In the given figure, if AB = 14 cm, then the value of tan B is:

 
 
 
 

20. If sin x + cosec x = 2, then sin19 x + cosec20 x =

 
 
 
 

Question 1 of 20