If cot A = 12/5 , then the value of (sin A + cos A) × cosec A is ____.

If cot A = 12/5 , then the value of (sin A + cos A) ×…

If cot A = $\frac{12}{5}$ , then the value of (sin A + cos A) × cosec A is ____________.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. $\frac{17}{5}$ .

cot A = 12/5 = B/P

We know that,

⇒ H² = B² + P²

⇒ H² = 12² + 5²

⇒ H² = 144 + 25

⇒ H² = 169

⇒ H = 13

So, the value of (sin A + cos A) × cosec A

⇒ (sin A + cos A) × cosec A

⇒ (5/13 + 12/13) × 13/5

⇒ 17/13 × 13/5 = 17/5