The table shows the derivation of an alternate version
of cos(2x). Select the correct reason for each step.

The table shows the derivation of an alternate version of cos2x Select the correct reason for each step class=

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Answer:

Reason 1 is: Double angle identity

Reason 2 is: Pythagorean identity

Reason 3 is: Distributive property

Reason 4 is: Simplifying

Step-by-step explanation:

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Answer:

Reason 1: Double angle identity

Reason 2: Pythagorean theorem

Reason 3: Distribution property

Reason 4: Combine like terms

From the table:

cos(2x)

[tex]=cos^2(x)-sin^2(x)[/tex] [Double angle identity]

[tex]=cos^2(x)-[1-cos^2(x)][/tex] [Pythagorean theorem]

[tex]=cos^2(x)-1+cos^2(x)[/tex] [Distribution property]

[tex]=2cos^2(x)-1[/tex] [Combine like terms]

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