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Решите уравнение $\cos 2x + \sin^2 x = 0.75$

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Convert between customary and metric systems

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Q. Решите уравнение

\cos 2x + \sin^2 x = 0.75

Recognize Pythagorean identity: First, we need to recognize that $\cos^2x$ can be expressed in terms of $\sin^2x$ using the Pythagorean identity: $\cos^2x = 1 - \sin^2x$ . We will use this identity to rewrite the equation in terms of $\sin^2x$ only.
Substitute $\cos 2x$ : Substitute $\cos 2x$ with $1 - \sin^2x$ in the equation: $\newline$ $(1 - \sin^2x) + \sin^2x = 0.75$
Simplify equation: Simplify the equation by combining like terms: $1 - \sin^2 x + \sin^2 x = 0.75$
Cancel $\sin^2 x$ terms: The $\sin^2 x$ terms cancel each other out, leaving us with: $1 = 0.75$ This is a contradiction because $1 \neq 0.75$ . There seems to be a mistake in the simplification process.

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