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