Question

If \(3\cos\theta+4\sin\theta=5\), then \(4\sin\theta-3\cos\theta=\)

• A. 5
• B. 4
• C. 2
• D. 0

Hint:

Remember: \[ (a\cos\theta+b\sin\theta)^2+ (b\cos\theta-a\sin\theta)^2 =(a^2+b^2). \] This identity is very useful in trigonometric simplification.

Answer 1

The Correct Option is D