Solve the equation cos ^ 2x + 1 = sin ^ 2x

univerkov | August 9, 2021 | education

cos ^ 2x + 1 = sin ^ 2x.

Move sin ^ 2x to the left side of the equation:

cos ^ 2x + 1 – sin ^ 2x = 0.

Rewrite unit as cos ^ 2x + sin ^ 2x:

cos ^ 2x + cos ^ 2x + sin ^ 2x – sin ^ 2x = 0.

Let’s sum up similar terms:

2cos ^ 2x = 0;

cos ^ 2x = 0;

cosx = 0;

x = П / 2 + Пn, n is an integer.

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