CPM Homework Help : PC3 Problem 11-51

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11-51.

Given $\cot(β) =\frac { \sqrt { 7 } } { 3 }$ and $β$ is in Quadrant III $(π < β <\frac { 3 \pi } { 2 })$ , calculate each of the following values.

$\cos(β)$
Step 1(a):
What must the signs be for
the coordinates in Quadrant III?
Step 2(a):
$\cot(\beta)=\frac{\text{adjacent}}{\text{opposite}}=\frac{-\sqrt{7}}{-3}$
Step 3(a):
Calculate the length of the hypotenuse in the diagram. Use it to determine $\cos(β)$ .

$\csc(β)$
Hint (b):
Follow a similar thinking process as shown in part (a).

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