1. Do Now a) Solve x2 – 3x – 4 = 0 by factoring: b)
Solve x2 – 3x – 4 = 0 by Quadratic Formula

2. Solving Trigonometric Equations
Section 6.2
Solving Trigonometric Equations
Objective:
SWBAT use algebraic techniques such as factoring and the quadratic formula to solve trigonometric equations.

3. Solving Quadratic Equations
Recall a Quadratic Equation (second degree) has the format
One side MUST be set to zero
Common methods used to solve a quadratic equation:
Factoring
Remember that the process of factoring converts a sum of terms into a product of terms
Usually into two binomials
Quadratic Formula

4. Factoring a Quadratic To attempt factoring :
Always look for a GCF (greatest common factor)
If present, factoring out the GCF simplifies the problem
Find two numbers that multiply to a·c AND add to b
Only using the coefficients (numbers)
If a = 1, we have an easy trinomial
Can immediately write as two binomials
If a ≠ 1, we have a hard trinomial
Expand the trinomial into four terms
Use grouping

5. Solving Quadratic Equations Using the Quadratic Formula
An equation in the format can also be solved using the Quadratic Formula:
To solve a quadratic equation using the Quadratic Formula:
Set one side of the quadratic equation to zero
Plug the values of a, b, and c into the Quadratic Formula
a, b, and c are all NUMBERS
Simplify

6. Solving Linear Trigonometric Equations
Solve: a) 2 sin 𝜃 −1=0

7. Solving Quadratic Trigonometric Equations by FACTORING
Solve: a) sin 𝑥 tan 𝑥 = sin 𝑥

8. Solving Quadratic Trigonometric Equations by FACTORING
Solve: a) tan 2 𝑥 + tan 𝑥 −2=0

9. Solving Quadratic Trigonometric Equations by FACTORING
Solve: b)

10. Solving Quadratic Trigonometric Equations by QUADRATIC FORMULA
Solve: c) cot 𝑥 cot 𝑥 +3 =1