If 3tan⁡A+4=0 then the value of 2 cot A -5 cos A + sin A is equal to

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2310 if π2

2310 if 3π2

−5310 if π2

−5310 if 3π2

answer is A.

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Detailed Solution

We have tan⁡A=−43lf A lies in 2nd quadrant, thensin⁡A=45,cos⁡A=−35, and cot⁡A=−34lf A lies in 4m quadrant, thensin⁡A=−45,cos⁡A=35 and cot⁡A=−34

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