$$\frac{1}{3} \pi \times 100 \approx 104.7 mi$^2$$

Question 1

Convert the angle $$61^	ext{°}21' to $$decimal degrees. Round your answer to two decimal places.

Accepted Answer

$$61.35^	ext{°}$$

Question 2

Given an angle $$x^	ext{°}$$, what is the expression for its supplement?

Accepted Answer

$$180^	ext{°} - x^	ext{°}$$

Question 3

What is the measure of an angle that is its own supplement?

Accepted Answer

$$180^	ext{°}$$

Question 4

Find the complement and supplement of $$33^	ext{°}. $$Which of the following is correct?

Accepted Answer

Complement: $$57^	ext{°}$$, Supplement: $$147^	ext{°}$$

Question 5

Convert $$18^	ext{°}27' to $$decimal degree notation. Round to two decimal places.

Accepted Answer

$$18.45^	ext{°}$$

Question 6

Find the least positive angle coterminal with $$603^	ext{°}.$$

Accepted Answer

$$243^	ext{°}$$

Question 7

If $$\cot 	heta is $$undefined, what is the value of $$	an 	heta$$?

Accepted Answer

$$0$$

Question 8

The terminal side of an angle $$	heta in $$standard position passes through the point $$(-3, -5). $$What is $$\sin 	heta$$?

Accepted Answer

$$-\frac{5}{\sqrt{34}}$$

Question 9

Suppose the point $$(x, y) is in $$Quadrant II. Is $$\frac{r}{x}$$ positive or negative?

Accepted Answer

Negative

Question 10

Suppose the point $$(x, y) is in $$Quadrant I. Is $$\frac{y}{x}$$ positive or negative?

Accepted Answer

Positive

Question 11

Evaluate $$5 \sin 180^	ext{°} - 2 \cos 0^	ext{°}.$$

Accepted Answer

$$-2$$

Question 12

If $$\cos 	heta = \frac{7}{9}$$, what is $$\sec 	heta$$?

Accepted Answer

$$\frac{9}{7}$$

Question 13

If $$\csc 	heta = \frac{44}{2}$$, what is $$\sin 	heta$$?

Accepted Answer

$$\frac{2}{44}$$

Question 14

Find the exact value of $$\csc 45^	ext{°}.$$

Accepted Answer

$$\sqrt{2}$$

Question 15

Find the exact value of $$\sin 60^	ext{°}.$$

Accepted Answer

$$\frac{\sqrt{3}}{2}$$

Question 16

Convert $$90^	ext{°} to $$radians.

Accepted Answer

$$\frac{\pi}{2}$$

Question 17

Convert $$\frac{\pi}{4}$$ radians to degrees.

Accepted Answer

$$45^	ext{°}$$

Question 18

Find the exact value of $$	an \frac{\pi}{2}.$$

Accepted Answer

Undefined

Question 19

Find the exact function value $$\sin \left(-\frac{7\pi}{6}\right).$$

Accepted Answer

$$\frac{1}{2}$$

Question 20

A sector of a circle has radius $$r = 10.0 mi $$and central angle $$	heta = 120^	ext{°}. $$What is the area of the sector?

Accepted Answer

$$\frac{1}{3} \pi 	imes 100 \approx 104.7 mi$^2$$

Sector Area and Gear Rotation in Trigonometry

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