Question

3sin^2 50 + cos^2 50

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the expression $3\sin^2(50^\circ) + \cos^2(50^\circ)$, you can use the trigonometric identity $\sin^2(\theta) + \cos^2(\theta) = 1$.

First, notice that $3\sin^2(50^\circ)$ can be written as $3(1 - \cos^2(50^\circ))$ using the identity $\sin^2(\theta) = 1 - \cos^2(\theta)$.

So the expression becomes:

$3(1 - \cos^2(50^\circ)) + \cos^2(50^\circ)$

Now distribute the 3:

$3 - 3\cos^2(50^\circ) + \cos^2(50^\circ)$

Combine the $\cos^2(50^\circ)$ terms:

$3 - 2\cos^2(50^\circ)$

This is the simplified form of the given expression: $3 - 2\cos^2(50^\circ)$.