Exam 1: Trigonometric Functions

An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the indicated trigonometric function value of . Do not use a calculator. -(-5, -3)

If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. -258°21´14´´

Provide an appropriate response. -Find the complement of an angle whose measure is 71°.

Find the measure of each angle in the problem. -rcot $270 ^ { \circ } + 8 \cos 180 ^ { \circ } + 3 \sec ^ { 2 } 360 ^ { \circ }$

Use the properties of angle measures to find the measure of each marked angle. - $( 15,20 )$ ; Find $\cos \theta$ .

If n is an integer, n · 180° represents an integer multiple of 180°, and (2n + 1) · 90° represents an odd integer multiple of 90°. Decide whether the expression is equal to 0, 1, -1, or is undefined. -Find $\sin \theta$ , given that $\cos \theta = \frac { 2 } { 3 }$ and $\tan \theta < 0$ .

The triangles are similar. Find the angle or side that corresponds to the given angle or side in the other triangle. - $2 x + 3 y = 0 , x \leq 0 ; \quad$ Find $\csc \theta$

Convert the angle to degrees, minutes, and seconds. -