Elective Mathematics

Question 1

1Solve 2 sin θ = 1 for 0° ≤ θ ≤ 180°.

Easy

A. 30° only B. 60° and 120° C. 30° and 150° D. 45° and 135°

Question 2

2Find cos 150°.

Easy

A. −1/2 B. √3/2 C. −√3/2 D. 1/2

Question 3

3In which quadrant are both sine and cosine negative?

Easy

A. second B. first C. fourth D. third

Question 4

4What is cos(−60°)?

Easy

A. −√3/2 B. 1/2 C. −1/2 D. √3/2

Question 5

5Find the exact value of tan 45°.

Easy

A. √3 B. 0 C. 1/√3 D. 1

Question 6

6The area of a sector of radius 4 cm and angle π/4 is

Hard

A. 4π cm² B. π/2 cm² C. 2π cm² D. π cm²

Question 7

7Find the length of an arc of radius 6 cm subtending 2 radians.

Hard

A. 3 cm B. 12 cm C. 6 cm D. 24 cm

Question 8

8Find the exact value of sin 30°.

Easy

A. √2/2 B. √3/2 C. 1/2 D. 1

Question 9

9The period of y = sin 2x is

Easy

A. 180° B. 720° C. 90° D. 360°

Question 10

10Convert 180° to radians.

Easy

A. 3π/2 B. 2π C. π D. π/2