Trigonometric equations and compound angles

Question 1 of 10

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

Question 2 of 10

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

Question 3 of 10

sin 15° cos 50° + cos 15° sin 50° = sin(___°)

Question 4 of 10

sin(A − B) =

Question 5 of 10

Solve cos θ = 0.866 for 0° ≤ θ ≤ 360°.

Question 6 of 10

sin 2A = 2 sin A.

Question 7 of 10

The equation sin θ = 2 has no real solution.

Question 8 of 10

cos(A + B) =

Question 9 of 10

cos² A = (1 + cos 2A)/2.

Question 10 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).