Question

if
3 cot = 2 find the value
4 Sin- 3 Cos/
2 Sin +6cos
​

Answer 1

Answer:

Given, 3 cot =2

cot=2/3

tan=3/2

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

4sin-3cos/2sin+6cos×sin/sin (_______Multiply and divide by sin)

=4sin-3cos

__________

sin

___________

2sin+6cos

____________

sin

=4-3(cos/sin)/2+6(cos/sin)

=4-3cot/2+6cot

=4-3×2/3

_______

2+6×2/3

=4-2/2+4

=2/6

=1/3