Angles and Trigonometric Ratios

An angle is in standard position if:

(mark all correct conditions

• the vertex of the angle is at the origin

• the initial side of the angle is on the positive x-axis

• the reference angle is measured to the y-axis

• measured in a counterclockwise direction to the terminal side, the angle is positive.

In which quadrant will the terminal side of the angle 172 degrees be?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is the correct marking for the reference angle of 220 degrees?

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What is the measure of the reference angle for an angle measuring 288 degrees?

• 88 degrees

• 18 degrees

• 72 degrees

• 108 degrees

What is the radian measure of the given angle?

• $\frac{3}{4}$

• $\frac{3}{8}$

• $\frac{3\pi}{4}$

• $\frac{3\pi}{8}$

Which drawing represents the radian measure of $\frac{2\pi}{5}$  ?

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 $\frac{3\pi}{5}$  

Convert to degrees.

• 72 degrees

• 54 degrees

• 108 degrees

• 216 degrees

 $-115\degree$  
Convert to radian measure.

•  $-\frac{23\pi}{36}$  

•  $-\frac{23\pi}{72}$  

•  $-\frac{23}{36}$  

•  $-\frac{23}{72}$  

Given the point (5,12) on the terminal side of angle Θ, what is cos(Θ)?

• $\frac{5}{12}$

• $\frac{5}{13}$

• $\frac{12}{13}$

• $\frac{12}{5}$

Given the point (-8,15) on the terminal side of angle Θ, what is sin(Θ)?

• $-\frac{8}{15}$

• $-\frac{8}{17}$

• $\frac{15}{17}$

• $-\frac{15}{8}$