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