If
then find
. (CBSE 2017)
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Using sin2θ + cos2θ = 1
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Using 2sinθcosθ = sin2θ
y = sin–1(sin2θ)
Considering the limits,
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For
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Now, y = sin–1(sin2θ)
y = 2θ
y = 2cos–1x
Differentiating w.r.t x, we get
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For
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Now, y = sin–1(sin2θ)
y = –2θ
y = –2cos–1x
Differentiating w.r.t x, we get
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(CBSE 2014)
(CBSE 2015)