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6. Trigonometric Identities and More Equations

Solving Trigonometric Equations Using Identities

6. Trigonometric Identities and More Equations

Solving Trigonometric Equations Using Identities

Multiple Choice
Find all solutions to the equation.
$\left(\cos\theta+\sin\theta\right)\left(\cos\theta-\sin\theta\right)=-\frac12$
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Multiple Choice
Find all solutions to the equation where 0 ≤ $\theta$ ≤ $2\pi$ .
$\sin\theta\cos\left(2\theta\right)-\sin\left(2\theta\right)\cos\theta=\frac{\sqrt2}{2}$
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Textbook Question
In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅).2 cos² x + sin x - 1 = 0
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Textbook Question
In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅).4 cos² x = 5 - 4 sin x
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Textbook Question
In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅).sin 2x = cos x
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Textbook Question
In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅).cos 2x + 5 cos x + 3 = 0
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Textbook Question
In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅).sin x + cos x = 1
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Textbook Question
In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅). __ √ 2sin 2x cos x + cos 2x sin x = -------- 2
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Textbook Question
In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅).tan x + sec x = 1
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