1. Solving 2 nd degree Trig Equations

2. Solve for Ө such that Substitute the trig function with x Solve the quadratic equation Substitute x with the trig function

3. Not done yet… Where is cosine = 0 Where is cosine positive

4. Solve for Ө such that Substitute the trig function with x Solve the quadratic equation Substitute x with the trig function

5. Not done yet… Where is cosine = -1 Where is cosine positive

6. Solve for Ө such that Substitute the trig function with x Solve the quadratic equation Substitute x with the trig function

7. Solve for Ө such that Substitute the trig function with x Solve the quadratic equation Substitute x with the trig function

8. Solve for Ө such that Substitute the trig function with x Solve the quadratic: multiply both sides by x to get rid of the denominator Substitute x with the trig function

9. Now, substitute the trig function with x Solve the quadratic: multiply both sides by x to get rid of the denominator You can’t substitute for x – there are two functions, not 1 But wait…csc is a reciprocal function!