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√2cosx(√2sinx + 1) - (√2sinx + 1) = 0.
(√2sinx + 1)(√2cosx - 1) = 0.
√2sinx + 1 = 0;
√2sinx = -1.
sinx = -1/√2 = -√2/2.
х = -п/4 + 2пn, n - целое число.
х = -3п/4 + 2пn, n - целое число.
Или √2cosx - 1 = 0.
√2cosx = 1.
cosx = 1/√2 = √2/2.
х = п/4 + 2пn, n - целое число.
х = -п/4 + 2пn, n - целое число.
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