If `3 sin A+5 cos A =5,` then the value of `(3 cos A-5 sin A )^(2) ` is

A

4

B

5

C

2

D

9

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Given 3sin beta+5cos beta=5, then the value of (3cos beta-5sin beta)^(2) is

If 3 sin x + 5 cos x =5 , then what is the value of (3cos x - 5sin x) ?

If 3 sin theta + 5 cos theta =5, then the value of (5 sin theta - 3 cos theta ) is

If 3sin x+5cos x=5 then write the value of 5sin x-3cos x

3sin x+5cos x=5 then find the value of 5sin x-3cos x

If 3cos x+4cos y=5, then the maximum value of 3sin x+4sin y is

If 3 sin theta + 4 cos theta =5 , then value of sin theta is

If cos A=(3)/(4) then the value of sin((A)/(2))sin((5A)/(2)) is

The value of sin(cos^(-1)3/5) is