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Question

If sinθ + cosθ = 1, then the value of sin 2θ is ___________.

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Solution

Given sinθ+cosθ=1By squaring both sides, we getsinθ+cosθ2=12i.e. sin2θ+cos2θ+2 sinθ cosθ=1i.e. 1+2 sinθ cosθ=1i.e. 2 sinθ cosθ=0i.e. sin 2θ=0Hence, value of sin 2θ is 0.

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