6.5_bzat4e

# 6.5_bzat4e - x&amp;amp;lt;2 : cos 2x = cos x Example Solve...

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Section 6.5 Trigonometric Equations

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Trigonometric Equations and Their Solutions

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Equations Involving A Single Trigonometric Function
Example Solve for x where 0 x<2 : 3 sin x = 3 + sin x π

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Example x Solve for x where 0 x 2 : 2 sin = 1 2 π <
Example Solve for x where 0 x<2 : sin x + cos x = 0 π

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Example Solve for x where 0 x<2 : sin x tan x = sin x π
Equations Involving Multiple Angles

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Example Solve for x: tan 2x= 3, 0 x<2 π
Example Solve for x: tan 2x= 1, 0 x<2 π -

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Example 2 Solve for x: 0 x<2 tan + tan x -2 =0 x π
Example 2 Solve for x: 0 x<2 4cos x + 4cos x = - 1 π

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Using Factoring to Separate Two Different Trigonometric Functions in an Equation
Example 0 0 Solve for x where 0 x<360 : sin x tan x=sin x

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Example 0 0 2 Solve for x where 0 x<360 : 5 sec 6 sec θ =
Using Identities to Solve Trigonometric Equations

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Example Solve for x where 0

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Unformatted text preview: x&lt;2 : cos 2x = cos x Example Solve for x where 0 x&lt;2 : 4 sin x cos x = 3 Using a Calculator to Solve Trigonometric Equations Example 2 Use a calculator to solve each equation, correct to four decimal places, on the interval (0,2 ). 8 sin- 1 x = Example 2 Use a calculator to solve each equation, correct to four decimal places, on the interval (0,2 ). cos 5cos -8=0 x x + (a) (b) (c) (d) Solve for x where 0 x&lt;2 without a calculator: sin x= sin 2x 5 0, , , 6 6 5 0, , , 3 3 3 5 , , , 2 2 3 3 3 5 , , , 2 2 6 6 (a) (b) (c) (d) 2 Solve for x where 0 x&lt;2 : 2 cos 2 1 cos 2 x x = -4 , , 3 3 7 3 , , , 6 6 2 2 3 4 , , , 2 2 3 3 3 5 , , , 2 2 6 6...
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## This document was uploaded on 10/26/2011 for the course FKP bmfp at UTEM Chile.

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6.5_bzat4e - x&amp;amp;lt;2 : cos 2x = cos x Example Solve...

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