IIT JEE Maths Practice Paper Part 12 – Trigonometry PYQs

1. The value of sin²θ + cos²θ is:

a) 0
b) 1
c) 2
d) None

2. The general solution of sinθ = 0 is:

a) nπ
b) 2nπ
c) nπ/2
d) π/2 + nπ

3. The value of tan 45° is:

a) 0
b) 1
c) √3
d) ∞

4. sin(2A) equals:

a) 2sinA
b) sinA cosA
c) 2sinA cosA
d) cos²A – sin²A

5. Which of the following is equal to 1?

a) sec²θ – tan²θ
b) tan²θ – sec²θ
c) secθ – tanθ
d) None

6. cos(90° – θ) =

a) sinθ
b) cosθ
c) tanθ
d) cotθ

7. The period of sinx is:

a) 180°
b) π/2
c) 2π
d) π

8. Which of the following is undefined?

a) tan 0°
b) cot 0°
c) cos 0°
d) sin 90°

9. sin30° + cos60° equals:

a) 0
b) 1
c) 2
d) √2

10. Which of these identities is correct?

a) sin²θ = 1 + cos²θ
b) tanθ = sinθ/cosθ
c) sinθ = 1/cosecθ
d) All of the above