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CBSE Class 12-science Answered

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Asked by sahrudadayajena | 27 Jan, 2024, 09:11: PM
answered-by-expert Expert Answer

Let   α =  ( sin4θ - cos4θ + 1 ) cosec2θ

α = [ ( sin2θ - cos2θ ) ( ( sin2θ + cos2θ ) + 1 ] cosec2θ

Since ( sin2θ + cos2θ ) =1 , above expression is written as

α = [ sin2θ - cos2θ +1 ] cosec2θ

Since ( 1 - cos2θ ) = sin2θ , above expression is written as

α = [ 2sin2θ ] cosec2θ

since cosecθ = 1 / sinθ , above expression becomes

α = 2

Answered by Thiyagarajan K | 28 Jan, 2024, 12:38: PM

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