Trigonometrymedium · Past Paper
What is sin(A - B) cos B + cos(A - B) sin B?
Asin A
Bcos A
Csin(A - 2B)
D0
✓ Correct Answer: A — sin A
Let X = A-B. The expression is sin X cos B + cos X sin B = sin(X + B) = sin(A - B + B) = sin A.
Share this question
More from Trigonometry
- Which of the following is equal to cos θ / sin θ?
- If the height of a pole is increased by 10%, and the angle of elevation remains 45°, the shadow length:
- If 2 cos theta = 1, find the value of theta.
- A man 1.5 m tall is 28.5 m away from a tower 30 m high. What is the angle of elevation of the top of the tower from his eye?
- Find the value of 2 tan 30 / (1 + tan^2 30).