Objectives:1. Evaluate

tangent, cotangent, secant, and cosecant functions.

2. Graph these functions.

The 4 remaining trig functions can

be written in terms of sin and cos:

If θ is a 2nd quadrant angle and

tan θ = -3/4, find the values of the

other 5 trig functions.

If and -90 < θ <

90 , find the other 5 trig functions.

Find the exact value of each (without

your unit circle!)

tan 225

csc 0

sec (-3π)

Find the exact value:

tan π/2

csc 7π/6

1

-1

θ tan θ

-π

-3π/4

-π/2

-π/4

0

π/4

π/2

3π/4

π

Obtained from the cosine graph:

1. sec θ = 1 where cos θ = 1

2. sec θ = -1 where cos θ = -1

3. sec θ is undef. where cos θ = 0

4. |sec θ| gets larger as |cos θ| gets

smaller.