4cos theta - sin theta/ 2cos theta + sin theta
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Step-by-step explanation:
Given,
3tanθ=4
tanθ=
3
4
2cosθ+sinθ
4cosθ−sinθ
=
2cosθ+sinθ
4cosθ−sinθ
×
cosθ
cosθ
----------( Multiply and divide by cosθ )
=
cosθ
2cosθ+sinθ
cosθ
4cosθ−sinθ
=
2+
cosθ
sinθ
4−
cosθ
sinθ
=
2+tanθ
4−tanθ
=
2+
3
4
4−
3
4
=
6+4
12−4
=
10
8
=
5
4
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