Solve for x sin(x)^2+cos(x)^2=2

$\sin^{2} (x) + \cos^{2} (x) = 2$

Subtract $2$ from both sides of the equation.

$\sin^{2} (x) + \cos^{2} (x) - 2 = 0$

Simplify $\sin^{2} (x) + \cos^{2} (x) - 2$ .

Apply pythagorean identity.

$1 - 2 = 0$

Subtract $2$ from $1$ .

$- 1 = 0$

$- 1 = 0$

Since $- 1 \neq 0$ , there are no solutions.

No solution

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