cot A-1 Hztos + EN 번ut ㅏF 아가. Prove it!
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L.H.S
√{(1 + tan^2A) / (1 + cot^2A)
= √ {sec^2A / Cosec^2A}
= secA / CosecA
= (1/cosA)/(1/sinA)
= sinA/ CosA
R.H.S
(1 - tanA)/(cotA - 1)
= (1 - sinA/CosA) / ( CosA/sinA - 1)
= {(CosA - sinA)/CosA} / {(CosA - sinA)/SinA}
= {(CosA - sinA)/CosA} × {SinA/(CosA - sinA)}
= SinA / CosA
so,
L.H.S =R.H.S (proved)
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