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Let f(θ) = sin[tan^-1(sinθ/√cos2θ)], where - π/4 < θ < π/4. Then the value of d/d(tanθ) [f(θ)] is_____.

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Let f(θ) = sin[tan-1(sinθ/√cos2θ)], where - π/4 < θ < π/4. Then the value of d/d(tanθ) [f(θ)] is_____.

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= sin[sin-1(tanθ)] = tanθ

d(tanθ)/d(tanθ) = 1

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