All About Angles!

Reference Angles

100

What is the reference angle of 120 degrees?

60 degrees

200

What is the reference angle of 225 degrees?

45 degrees

300

What is the reference angle of 107 degrees

73 degrees

400

What is the reference angle of

-pi/4

pi/4

500

What is the reference angle of -210 degrees?

30 degrees

Coterminal Angles

100

Is 365 degrees coterminal to an angle with 15 degrees?

No

200

Name a coterminal angle to 135 degrees that is positive.

495 or 855 or 1215 or 1575 or ...

300

Name a coterminal angle to 180 degrees that is negative.

-180 or -540 or -900 or -1260 or ...

400

Are 300 degrees and  

-pi/3

coterminal?

Yes

500

Are -45 degrees and 

(3pi)/4

coterminal?

No

Trig Functions of Angles

100

sin(30^o)

1/2

200

cos(150^o)

-sqrt(3)/2

300

tan((5pi)/6)

-sqrt(3)/3

400

cos(-45^o)

sqrt(2)/2

500

sin(-(2pi)/3)

-sqrt(3)/2

Convert an Angle

100

Change 45 degrees to radians.

pi/4

200

Change 120 degrees to radians.

(2pi)/3

300

Change

(11pi)/6

 into degrees

330 degrees

400

What is -90 degrees in radians

-pi/2

500

Change -7.2 radians into degrees

-7.2*180/pi=-412.529612

degrees

Geometry

100

In the geometric equation 

s=rtheta

This variable stands for arc length.

s

200

In the equation 

A=1/2r^2theta

How must

theta

  be expressed?

In radians

300

Find the length of the arc with radius 6 feet and angle 

pi/3

2pi

feet

400

What is the area of a segment with a radius of 6 meters and an angle of 120 degrees?

A = (1/2)6²(120)(pi/180)=12pi

meters

500

If the radius of a circle is 6 meters and the Area is 8 meters² then what is the angle?

theta=4/9