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JEE Advance - Mathematics (1981 - No. 9)

The general solution of the trigonometric equation sin x+cos x=1 is given by:
$$2n\pi ;\,n = 0,\, \pm 1,\, \pm 2....$$
$$x = 2n\pi + \pi /2;\,n = 0,\, \pm 1,\, \pm 2....$$
$$x = n\pi + {\left( { - 1} \right)^n}\,\,\,\,\,\,\,{\pi \over 4} - {\pi \over 4}$$ ; $$n = 0,\, \pm 1,\, \pm 2..$$
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