10 sin² x + 10 cos² x
10 sin² x + 10 cos² x
Answer
Explanation:
Step1: Factor out the common factor
$10\sin^{2}x + 10\cos^{2}x=10(\sin^{2}x+\cos^{2}x)$
Step2: Use the Pythagorean identity
Since $\sin^{2}x+\cos^{2}x = 1$, then $10(\sin^{2}x+\cos^{2}x)=10\times1$
Answer:
$10$