Trigonometry/Collection of Problems/Trigonometric Functions of Angles

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

Each of the angles $\theta$ and $\varphi$ are in standard position. Are they coterminal?

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

Values of Trigonometric Functions

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

1.

2.

3.

4.

5.

6.