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 $\phi$ are in standard position. Are they coterminal?

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

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.