Solving Trigonometric Equations

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What is a trigonometric equation?

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A trigonometric equation is an equation that involves trigonometric functions of a variable, typically an angle. These equations can be solved for the variable to find the angle(s) that satisfy the equation.

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CCSS.HSF.TF.B.7

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What is the general approach to solving trigonometric equations?

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1. Isolate the trigonometric function. 2. Use trigonometric identities if necessary. 3. Solve for the angle(s). 4. Consider the periodic nature of trigonometric functions to find all solutions within the specified interval.

Tags

CCSS.HSF.TF.B.7

Front

Back

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CCSS.HSF.TF.B.7

Front

Back

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CCSS.HSF.TF.B.7

Front

Back

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CCSS.HSF.TF.B.7

Front

What is the significance of the interval when solving trigonometric equations?

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The interval specifies the range of values for the variable (usually an angle) within which solutions must be found. It helps to limit the number of solutions to those that are relevant.

Tags

CCSS.HSF.TF.B.7

Front

Back

Tags

CCSS.HSF.TF.B.7

Front

Back

Tags

CCSS.HSF.TF.B.7

Front

What is the periodicity of the sine function?

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CCSS.HSF.TF.A.4

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What is the periodicity of the cosine function?

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CCSS.HSF.TF.A.4