CPM Homework Help : CCA2 Problem 9-11

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Home > CCA2 > Chapter 9 > Lesson 9.1.1 > Problem 9-11

9-11.

Solve each equation for $0 ≤ θ ≤ 360$ . You may need your calculator, but remember that your calculator only gives one answer. Most of these problems have more than one answer. Think about all four quadrants.

sin $θ = 0.5$
Hint (a):
Where is the sin $θ = 0.5$ ? Remember sin is the $y$ -value. What would $θ$ be at those places?
Answer (a):
$θ = 30° θ = 150°$

cos $θ = -0.5$
Hint (b):
Where is the cos $θ = -0.5$ ? Remember cos is the $x$ -value. What would $θ$ be at those places?

$4$ tan $θ- 4 = 0$
Hint (c):
Solve for the tan $θ$ . Draw a unit circle. Where is the tan $θ$ of that value?

$3$ sin^{$^2$} $θ = 1$
Hint (d):
Use your calculator to get one of the values. Then use symmetry to get the other $3$ values. There are $4$ values because when you take the square root of both sides the answer would be plus or minus!

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