Trigonometry/Collection of Problems/Trigonometric Functions of Angles

Sketch each of the following angles in standard position, and state whether it is a first-, second-, third-, or fourth-quadrant angle.

1.	${\displaystyle 30^{\circ }}$	2.	${\displaystyle 160^{\circ }}$	3.	${\displaystyle -80^{\circ }}$	4.	${\displaystyle 370^{\circ }}$
5.	${\displaystyle 700^{\circ }}$	6.	${\displaystyle -110^{\circ }}$	7.	${\displaystyle 220^{\circ }}$	8.	${\displaystyle 400^{\circ }}$

Each of the angles ${\displaystyle \theta }$ and ${\displaystyle \phi }$ are in standard position. Are they coterminal?

9.	${\displaystyle \theta =40^{\circ }\phi =400^{\circ }}$
10.	${\displaystyle \theta =200^{\circ }\phi =-160^{\circ }}$
11.	${\displaystyle \theta =-290^{\circ }\phi =-70^{\circ }}$
12.	${\displaystyle \theta =-290^{\circ }\phi =70^{\circ }}$
13.	${\displaystyle \theta =110^{\circ }\phi =-290^{\circ }}$
14.	${\displaystyle \theta =210^{\circ }\phi =-510^{\circ }}$

In each of the figures find the values of ${\displaystyle \cos \theta }$, ${\displaystyle \sin \theta }$, and ${\displaystyle \tan \theta }$:

1.

2.

3.

4.

5.

6.