If `A` lies in second quadrant and `3tanA+4=0,` then the value of `2cotA-5cos A+sinA` is equal to `-53//10` (b) `23//10` `37//10` (d) 7/10

Explanation

Here, `3tanA+4 = 0`

`=> tan A = -4/3.`

Now, `cot A = 1/tanA = -3/4`

As , `A` lies in second quadrant,

so, `sinA and cosecA` will be positive and other trigonometric functions will be negative.

Now, `tan A = -4/3`

`:. sec A = sqrt(1+(-4/3)^2) = -5/3`

`:. cosA = -3/5`

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