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Q.

If A lies in the second quadrant and $3 \tan A + 4 = 0$ , then the value of $2 \cot A - 5 \cos A + \sin A$ is equal to.

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a

$\frac{37}{10}$

b

$\frac{23}{10}$

c

$\frac{7}{10}$

d

$- \frac{53}{10}$

answer is B.

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Detailed Solution

$\cot A = \frac{- 3}{4}, \cos A = \frac{- 3}{4}, \sin A = \frac{4}{5}$

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If A lies in the second quadrant and 3tanA+4=0 , then the value of 2cotA−5cosA+sinA is equal to.