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Take a Test - Anna Slawnikowski - Google Chrome a Secure https://www.math com Student PlayerTestasporte stId=179148896&centerv; nyes Trigonometry (1) Quiz: Quiz 2.3-2.4 This Question: 2 pts Establish the identity. sec . sin 0-tan Write the left side in terms of sine and cosine sin 0 Write the result from the previous step as a single fraction. Do not simplify.) The fraction from the previous step then simplifies to tan using what? O A. Reciprocal Identity OB. Even-Odd Identity O C. Cancellation Property OD, Pythagorean identity O E. Quotient Identity Click to select your answer(s).

Explanation / Answer

We have given sec(theta)*sin(theta)=tan(theta)

LHS=sec(theta)*sin(theta)

substitute sec(theta)=1/cos(theta)

=1/cos(theta) *sin(theta)

=sin(theta)/cos(theta)

=tan(theta)

=RHS

So identity is established.

We used quotient identity for sin(theta)/cos(theta)=tan(theta)

Answer is E

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