CPM Homework Help : PC Problem 10-9

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Home > PC > Chapter 10 > Lesson 10.1.1 > Problem 10-9

10-9.

Solve the trigonometric equations for the variable in the given interval.

$7 \sin x − 9 = 2 \sin x − 7$ $[ 0, 2\pi]$
Hint 1(a):
Solve this equation using the same steps as you would to solve the equation
$7x − 9 = 2x − 7$ .
Hint 2(a):
How do you 'undo' the sine function?
Hint 3(a):
You will need to use the $\sin^{−1}$ key on your calculator. Remember that your calculator will only give one answer.
Answer (a):
$x = 0.412$
Draw a unit cirlce to find the 2nd answer. Recall that $π ≈ 3.14$ .

$4 \sin^{2} α = 3$ $[0, 2\pi]$
Hint 1(b):
Solve this equation using the same steps as you wold to solve the equation
$4x^2 = 3$ .
Hint 2(b):
Don't forget the ± sign.
Hint 3(b):
You do not need your calculator and should find 4 solutions.

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