Question
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
Answer
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Gwenllian
Master · Tutor for 5 years
Answer
A. Quotient Identity
Explanation
The expression
is represented as
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,
. Therefore, the expression
simplifies to
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
to
.