Question

if 3cosA+2sinA=2 then the value of 2cosA-3sinA?​

Answer 1

Answer:

Step-by-step explanation:

3cos + 2sin = 2

Sq both side

9 cos² + 4sin² + 12cos.sin = 4

9(1 - sin ²) + 4( 1-cos²) + 12cos.sin = 4

9 - 9sin² + 4 - 4cos² + 12cos.sin = 4

4 got cancelled frm both sides

9 - 9sin² - 4cos² + 12cos.sin = 0

9 - (2cos - 3sin)² = 0

9 = (2cos - 3sin)²

/9 = 2cos - 3sin

2cos - 3sin = ± 3

Thanks

Hope it helps uh

plz mark as brainliest