if 4 tan theta =3 ,find the value of
4 sin theta -4 cos theta / 4 sin theta + cos theta -1
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Answer:
If tanα=3/4,
sinα= 3/5 cosα=4/5
Then, (4sinα-4cosα)÷(4sinα+cosα-1)
= (4×3/5-4×4/5)÷(4×3/5+4/5-5/5)
= (12/5-16/5)÷(12/5-1/5)
= (-4/5)÷(11/5)
=-4/5×5/11
=-4/11
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