1. Factoring with trig functions

2. We’ll do the same things today as yesterday but today instead of x as the variable, we’ll have trig functions as the variable

3. Always look for a GCF first!

4. Difference of Squares

6. Factoring Trinomials

7. 3tan2 x– 14tanx + 8 1) Multiply 3 • (8) = 24; tanx2- 14tanx + 24
2) Set up ( )
( tanx )( tanx ) 3 3
What multiplies to 24 and adds to -14?
( tanx - 12)( tanx - 2) 3
4) Simplify (if possible).
5) Move denominator(s)in front of “x”.
( tanx - 4)( 3tanx - 2)

8. 2sec2 x– 3secx – 9 1) Multiply 2 • (-9) = -18; secx2 – 3secx - 18
2) Set up ( )
( secx )( secx ) 2 2
What multiplies to -18 and adds to -3?
( secx - 6)( secx + 3) 2
4) Simplify (if possible).
5) Move denominator(s)in front of “x”.
( secx - 3)( 2secx + 3)

9. 6sin3x + 13sin2x + 6sinx 1) Factor GCF sinx(6sin2x + 13sinx + 6)
2) Multiply 6 • (6) = 36;
Sinx(sin2x + 13sinx + 36)
3) Set up ( )
sinx( sinx )( sinx ) 6 6
4) What multiplies to 36 and adds to 13?
sinx(sin x + 4)( sinx + 9) 6
5) Simplify (if possible).
5) Move denominator(s)in front of “x”.
sinx(3sinx + 2)( 2sinx + 3)