Question

if 3 cos theta =2sin theta then value of 4sin theta -3cos theta / 2 sin theta + 6cos theta

Answer 1

3 cos theta = 4 sin theta
3/4= sin/ cos
4 sin- 3 cos/2 sin+ 6 cos
Divide the whole equation by Cos
3-3/15/2
3-3*2/15
0*2/15
0/15
0

Answer 2

3 cos theta = 2 sin theta

Sin theta/cos theta = 3/2

tan theta = 3/2

We have to find the value of

4 sin theta- 3 cos theta/2 sin theta+ 6 cos theta

Divide the numerator and denominator by cos theta.

4 tan theta -3/ 2 tan theta+6

Putting tan theta = 3/2

(4*3/2-3)/(2*3/2+6)

3/9

1/3.