This document contains objectives and steps to find values of sine and cosine functions and solve simple trigonometric equations. It provides examples of finding sine and cosine values for specific angles in radians and degrees without using a unit circle. It also gives examples of solving trigonometric equations for angles where sine or cosine is equal to given values. Finally, it asks the reader to compare sine and cosine values of complementary angles using less than, greater than, or equal signs.

1. Objectives:
1.
Find values of sine and cosine
functions
2.
Solve simple trig equations

2.  Find
the value of each without
looking at your unit circle.
 sin
 cos
-90
270
 sin
 cos
π

3.  Find
the value of each without
looking at your unit circle.
 sin
 cos
4π
180

4.  Solve
 for
sin θ = 1 for θ in degrees.
θ in radians:

5.  Solve
cos θ = 0 for θ in radians.

6.  If P(x,y) is a point on the circle
x2 + y2 = r2 and θ is an angle in
position with terminal ray OP:
std.

7. the terminal ray of an angle θ in std.
position passes through (-3, 2) find
sin θ and cos θ.
 If

8. θ is a 4th quadrant angle and
sin θ = -5/13, find cos θ.
 If

9.  Find
sin θ and cos θ.

10.  Complete
 sin
using <, >, or =.
30 ____ sin(-30 )
 cos
30 ____ cos (-30 )
 cos
300 ____ cos 330

11.  Complete
 cos
 sin
using <, >, or =.
40 ____ cos 30
310 ____ sin 230