CPM Homework Help : CALC Problem 6-65

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6-65.

Solve each of the following equations for $y$ .

$\operatorname{sin}(y) = x$
Answer (a):
$y = \operatorname{sin}^{−1}(x)$

$\operatorname{cos}^{−1}( y )= x$
Hint (b):
See part (a).

$\operatorname{sin}^2( y )+ x^2 = 1$
Hint (c):
Don't forget the $±$ .

$2\operatorname{sin}(y)\operatorname{cos}(y) = a$
Hint (d):
$2\operatorname{sin}(y)\operatorname{cos}(y) = \operatorname{sin}(2y)$

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