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Write the left side of the identity in terms of sine and cosine. Rewrite the numerator and denominator separately. (Do not simplify.) Simp
Question
Write the left side of the identity in terms of sine and cosine. Rewrite the numerator and denominator separately. (Do not simplify.) Simplify the fraction from the previous step such that both the fractions have the common denominator The expression from the previous step then simplifies to using what? A. Addition and a Reciprocal Identity B. Addition and a Pythagorean Identity
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Mathematics
3 years
2021-07-23T18:42:42+00:00
2021-07-23T18:42:42+00:00 1 Answers
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Answers ( )
Answer:
(c) Addition and Quotient identity
Step-by-step explanation:
Given
— The expression missing from the question
Solving (a): Write the left hand side in terms of sin and cosine
In trigonometry:
and
So, the expression becomes:
Rewrite as:
Solving (b): Simplify
Change / to *
Solving (c): The property used
To do this, we need to further simplify
Take LCM
Add the numerator
Apply quotient identity
This gives
Hence, the properties applied are:
Addition and Quotient identity