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

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.

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

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

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

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

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

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

Solving Quadratic Trigonometric Equations by FACTORING Solve: b)

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