1. 18. More Solving Equations

2. Reciprocal functions
When a reciprocal function (csc, sec, cot) is involved, solve as normal, then flip answer, then find on unit circle

3. Example
Solve for

4. Example
Solve for

5. Example
Solve for

6. Example
Solve for

7. Coefficient with angle
When there is a coefficient in front of θ, solve the equation as normal, then as the last step, divide by the coefficient

8. Example
Solve for

9. Example
Solve for

10. Example
Find all solutions (in degrees)

11. Example
Find all solutions (in radians)

12. Trig Equations with trig identities

13. When solving a trig equation, you must have only one function
Therefore if there is more than one trig function, then you have to use trig identities to change it so there is only one function

14. Solve the equation for 0 < x < 2p.

15. Solve the equation for 0 < x < 2p.

16. Solving Trigonometric Equations
Solve:
Replace sin2x with 1-cos2x
Distribute
Combine like terms.
Multiply through by – 1.
Factor.
Set each factor equal to zero.
Solve for cos x.
Determine the solution(s).

18. Example
Solve for

19. Solve