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Write the result from the previous step as a single fraction. (sinTheta )/(cosTheta ) (Do not simplify.) The fraction from the previous step then simplifies to tanTheta using what? A. Quotient Identity B. Cancellation Property C. Reciprocal Identity D. Even-Odd Identity E. Pythagorean Identity

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Write the result from the previous step as a single fraction.
(sinTheta )/(cosTheta ) (Do not simplify.)
The fraction from the previous step then simplifies to tanTheta  using what?
A. Quotient Identity
B. Cancellation Property
C. Reciprocal Identity
D. Even-Odd Identity
E. Pythagorean Identity

Write the result from the previous step as a single fraction. (sinTheta )/(cosTheta ) (Do not simplify.) The fraction from the previous step then simplifies to tanTheta using what? A. Quotient Identity B. Cancellation Property C. Reciprocal Identity D. Even-Odd Identity E. Pythagorean Identity

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GwenllianMaster · Tutor for 5 years

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A. Quotient Identity

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The expression $\frac {sin\Theta }{cos\Theta }$ is represented as $tan\Theta $ in trigonometry. It's known as the Quotient Identity. In trigonometry, the Quotient Identity states that the division of the sine function by the cosine function for the same angle results in the tangent function of that angle, that is, $\frac {sin\Theta }{cos\Theta }=tan\Theta $. <br /><br />Therefore, the expression $\frac {sin\Theta }{cos\Theta }$ simplifies to $tan\Theta $ based on the Quotient Identity. This process does not involve the Cancellation Property, Reciprocal Identity, Even-Odd Identity or even the Pythagorean Identity. All these identities and properties hold relevance in different aspects of trigonometry, nonetheless, they do not apply to the simplification of $\frac {sin\Theta }{cos\Theta }$ to $tan\Theta $.
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