Question

(sinA t cosec A) ² + (cos A+ see A)² = 7+ tanz A+ cot² A​

Answer 1

Step-by-step explanation:

Taking L.H.S and solving it

⇒sin²A + cosec²A + 2sinAcosec A + cos²A + sec²A + 2cosAsecA

⇒sin²A + cos²A + cosec²A + sec²A + 2( sinA* 1/sinA) + 2(cosA*1/cosA)

⇒1 + cosec²A + sec²A + 2(1) + 2(1)

⇒1 + 2+ 2 + 1 + tan²A + 1 + cot²A

⇒7 + tan²A + cot²A

L.H.S = R.H.S

Hence Proved