The document discusses solving trigonometric equations for exact values over specified intervals. It provides examples of finding trig function values given relationships between other trig functions, such as finding the angle θ if cosine is a certain value and tangent is positive. It also discusses finding the general solution, or all possible values, for trigonometric equations over the real number domain.

1. Oct 26

2. Solving Exact Values
Given cos = -1, determine the exact value of sin
2
for 180o < < 360o
If tan θ = - 1, given <θ< , find sec θ
If csc θ = 2 and tan < 0 find all 5 other trig ratios

3. ex. Find over the interval [0, ] if cos = - and tan > 0
ex. Find over the interval [0o,180o] if sin = and cos < 0

4. General Solutions of Trig Eqns
Solve for sin = 1
2
[0,2 ]
[0,4 ]
Also reads "over the reals where the domain is
the set of all real numbers"

5. The answer is called the general solution for a trig eqn
Solve the eqn where
cos = -
cot =-