SinA/1-CosA = CosecA + CotA
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Answer:
Step-by-step explanation:
Multiply LHS Both Numerator and Denominator by 1+cosA
i.e, Rationalize L.H.S.
We will get,
sinA / 1-cosA * 1+cosA/1+cosA
sinA(1+cosA) / 1-cos²A ∵(a+b)(a-b) = a²-b²
sinA(1+cosA) / sin²A ∵1-cos²A = sin²A
1+cosA / sinA
1/sinA + cosA/sinA
cosecA + cotA = R.H.S.
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