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The general solution of the trigonometrical equation $\sin x + \cos x = 1$ is

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x=2nπ,n∈I

x=2nπ+π2,n∈I

x=nπ+(−1)nπ4−π4,n∈I

none of these

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detailed solution

Correct option is C

sin⁡x+cos⁡x=1⇒sin⁡(x+π/4)=12=sin⁡π4⇒ x+π4=nπ+(−1)nπ4⇒ x=nπ+(−1)nπ4−π4which includes x=2nπ and x=2nπ+π2.

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The general solution of the trigonometrical equation sin⁡x+cos⁡x=1 is

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The general solution of the trigonometrical equation $\sin x + \cos x = 1$ is