DTR
RTD
All angles for an angle.
Quadranting
It should be exact
Solving it right!
Wording the angles
Coordinating right
100

0 degrees

0 radians

100

0 radians

0 degrees

100

Graph showing the direction, label initial side and terminal side, find a coterminal angle between 0 and 2π, and find its reference angle.

Coterminal = 

Reference = 

100

What is the quadrant for the terminal side of an angle Φ if its sec > 0 and tan < 0?

Quadrant IV

100
Find the exact value of tan (-45). (Do not use calculator).

-1

100

Solve triangle with the following info:

a = 23.66

B = 65 degrees

b = 21.44

100

A kite flying in the air has a rope that measures 12 ft.  It projects a shadow on the ground that measures 8ft.  What is the height of the kite?

8.9 ft

100

Suppose that (5/13, y) is a point in quadrant IV that is found in the unit circle. Find y. Write an exact value, not a decimal approximation.


y = -12/13

200

210 degrees

7/6 pi  radians


200

pi/3

radians

60 degrees

200

Graph showing the direction, label initial side and terminal side, find a coterminal angle between 0 and 2π, and find its reference angle.

Coterminal angle:

Reference angle 

200

What is the quadrant in which the terminal side of angle Φ  if tan < 0 and sin < 0?

IV

200

Find the exact value of Do not use calculator, use unit circle coordinates.

200

Solve for the following triangle.

B = 60

A = 30

200
The top end of a ladder is resting on the side of a building at a height of 12ft. The bottom end of the ladder is resting at a horizontal distance of 10ft from the bottom of the building. What is the length of the ladder?

15.6 ft

200

Suppose that (x, 5/6) is a point in quadrant I that is found on the unit circle. Find x, write the exact value not a decimal approximation.

x = sqrt11 /6

300

-45 degrees

-pi/4 radians


300

2/3 pi radians

120 degrees

300

Graph showing the direction, label initial side and terminal side, find a coterminal angle between 0 and 360, and find its reference angle.



Coterminal angle:

Reference angle: 



300

What is the quadrant in which the terminal side of Φ lies if its cos > 0 and cot > 0?

I

300

Find the exact value of sec(pi/2). DO NOT USE CALCULATOR, use unit circle coordinates.

Undefined

300

Solve the following right triangle.

b = 16.42

a = 4.4

B = 75


300

A kite flies at a vertical height of 91 ft from the ground and its rope is very tense. The elevation angle of the kite is 57 degrees.  Find the length of the rope. 

108.5 ft

300

Suppose that Φ is an angle in standard position with a terminal side intersecting the unit circle in

(5/6, -sqrt11 /6)

Find exact values for cotΦ, cscΦ and cosΦ

cot Φ = -5sqrt11 /11

csc Φ = -6sqrt11 / 11

cos Φ = 5/6