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8.1 Graphical Solutions to Trig. Equations

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Presentation on theme: "8.1 Graphical Solutions to Trig. Equations"— Presentation transcript:

1 8.1 Graphical Solutions to Trig. Equations
Basic Equation: An equation that involves a single trig. function set equal to a #. Cos x = 2 sin x = 1 tan x = 5

2 Intersection Method: Ex
Intersection Method: Ex. 1: Use intersection to find the solution a) tan x = 3 b) sin x = .5

3 The X-intercept Method:
Get the equation equal to 0. Determine the period (p) Graph the equation over an interval of p. Find the x-intercepts For each x-intercept u, all of the #’s u+kp where k is an integer are solutions of the equation.

4 Ex. 2 Solve Sin x = -.75 Tan x = 3 sin 2x

5 Ex. 3 Find all solutions in (0, 2𝜋).
a. Sin x = b. Cos x = 0.873

6 Ex. 4 Find all solutions in 0°≤𝜃<360°
a. Tan 𝜃 = 8.53 b. Cos 𝜃=−0.35

7 Complete Hw 8.1 p. 528 {15 – 28}


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