CPM Homework Help : APCALC Problem 10-23

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Home > APCALC > Chapter 10 > Lesson 10.1.2 > Problem 10-23

10-23.

Use the trigonometric identity $\cos(2x) = 2\cos^2(x) - 1$ to rewrite each of the expressions below.

$\cos^2(x)$
Step (a):
$2\cos^2(x)=\cos(2x)+1$

$\sin^2(x)$
Hint (b):
$\cos^2(x)=1-\sin^2(x)$
Step (b):
$\cos(2x)=2(1-\sin^2(x))-1$
Now solve for $\sin^2(x)$ .

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