Trigonometric equations and compound angles

Question 1 of 10

tan θ = sin θ / cos θ.

Question 2 of 10

Solve sin θ = 0.866 for 0° ≤ θ ≤ 180°.

Question 3 of 10

Using compound angles, find sin 15° to 3 decimal places.

Question 4 of 10

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

Question 5 of 10

Find the value of sin 60° given that sin 30° = 0.5 and cos 30° = 0.866.

Question 6 of 10

cos² A = (1 + cos 2A)/2.

Question 7 of 10

Given that sin A = 3/5 and cos B = 5/13 with A and B acute, find sin(A + B) and cos(A − B).

Question 8 of 10

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

Question 9 of 10

Solve cos θ = 0.5 for 0° ≤ θ ≤ 360°.

Question 10 of 10

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