Question

If cosecA - cotA = P, then find the value of p^2-1/p^2+1

Answer is -cosA

Plzz tell how to solve.​

Answer 1

Answer:

Step-by-step explanation:

cosec A- cot A= P

Squaring both side.

Cosec²A+Cot² A+2 Cosec A Cot A= P²

1+cot² A+ cot² A+2/sin A×cos A/sin A=P²

1 +2cot²A +2cos A/sin²A=P²

1+2cos²A/sin²A +2cos A/sin²A=P²

sin²A+2cos²A+2cosA/sin²A=P²

1-Cos²A+2Cos²A+2cos A/Sin²A=P²

1+cos²A+2cosA/sin²A=P²

(1+cosA)²/sin²A=P²

P²=(1+cosA/sinA)²

(1+cosA/sinA)² - 1/(1+cosA/sinA)² + 1

Then you can Do it yourself...

Hope it helps...