Elective Mathematics

Question 1

1sin 10° cos 30° + cos 10° sin 30° = sin(___°)

Medium

Your answer (fill in the blank)

Question 2

2sin 2A =

Easy

A. 2 sin A cos A B. 2 sin A C. sin A + cos A D. sin²A − cos²A

Question 3

3sin 40° cos 30° + cos 40° sin 30° = sin(___°)

Medium

Your answer (fill in the blank)

Question 4

4sin 15° cos 40° + cos 15° sin 40° = sin(___°)

Medium

Your answer (fill in the blank)

Question 5

5sin(A − B) = sin A cos B − cos A sin B.

Easy

A. True B. False

Question 6

6cos² A = (1 + cos 2A)/2.

Medium

A. True B. False

Question 7

7Using compound angles, find sin 75° to 3 decimal places.

Hard

A. 0.034 B. 1.932 C. 0.983 D. 0.966

Question 8

8Find the value of sin 90° given that sin 45° = 0.7071 and cos 45° = 0.7071.

Medium

A. 0 B. 2 C. 1.414 D. 1

Question 9

9sin 40° cos 50° + cos 40° sin 50° = sin(___°)

Medium

Your answer (fill in the blank)

Question 10

10sin 10° cos 55° + cos 10° sin 55° = sin(___°)

Medium

Your answer (fill in the blank)