Elective Mathematics

Question 1

1Solve tan x = 1 for 0° ≤ x ≤ 360°.

Easy

A. 45° and 135° B. 135° and 315° C. 45° and 225° D. 45° only

Question 2

2sin(A + B) is equal to

Easy

A. sin A + sin B B. cos A cos B − sin A sin B C. sin A sin B + cos A cos B D. sin A cos B + cos A sin B

Question 3

3Find the general solution of sin x = 0.

Hard

A. x = nπ B. x = 2nπ C. x = nπ/2 D. x = π/2 + nπ

Question 4

4Solve sin x = 0.5 for 0° ≤ x ≤ 360°.

Easy

A. 30° and 150° B. 30° only C. 30° and 210° D. 60° and 120°

Question 5

5The area of a triangle with sides 6 and 8 and included angle 30° is

Easy

A. 48 B. 6 C. 12 D. 24

Question 6

6In triangle ABC, a = 5, b = 7 and C = 60°. Find c².

Medium

A. 35 B. 74 C. 109 D. 39

Question 7

7What is the general solution of sin x = 0 (x in radians)?

Medium

A. x = nπ, n an integer B. x = 2nπ only C. x = nπ/2 D. x = π/2 + nπ

Question 8

8What is the greatest value of 3 sin x + 4 cos x?

Medium

A. 12 B. 7 C. 5 D. 1

Question 9

9Using the sine rule, a/sin A =

Easy

A. b/cos B B. b/sin B C. sin B/b D. a/sin B