Test:MAC1114-Test No.2

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Part 1

Verify the identity.

1 plus StartFraction tangent squared theta Over secant theta plus 1 EndFraction1+tan2 θsec θ+1equals=secant thetasec θ

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Part 1

To verify the​ identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step.

1 plus StartFraction tangent squared theta Over secant theta plus 1 EndFraction1+tan2 θsec θ+1

equals=

1 plus StartFraction secant squared theta minus 1 Over secant theta plus 1 EndFraction1+secant squared theta minus 1sec2θ−1sec θ+1

Apply a Pythagorean identity.

​(Do not​ factor.)

Part 2

equals=

1 plus StartFraction nothing Over secant theta plus 1 EndFraction1+enter your response heresec θ+1

Factor the numerator.Factor the numerator.

Part 3

equals=

secant thetasec θ

Divide out the common factor and simplify.

1 plus StartFraction tangent squared theta Over secant theta plus 1 EndFractionsecant theta1 plus StartFraction tangent squared theta Over secant theta plus 1 EndFractionsecant thetaChoose the correct transformations and transform the expression at each step.Choose the correct transformations and transform the expression at each step.listbox 3,

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