7. Establish the identity. cos u secu+ tan 1- sin u Write the left side in terms of sine and cosine. sin u sec u+ tan u = cos u cos u Simplify by writing the expression from the previous step over a common denominator. cos u Rewrite the expression from the previous step by multiplying the numerator and denominator by 1- sin u. cos u(1 - sin u) - (Simplify your answer.) Write the numerator of the expression from the previous step in terms of cosine. cos u(1 – sin u) cos u The fraction from the previous step then simplifies to sin u using what? O A. Pythagorean Identity O B. Even-Odd Identity OC. Quotient Identity O D. Cancellation Property Q E. Reciprocal Identity

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 14RE
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7. Establish the identity.
cos u
sec u+ tanu=
1- sin u
Write the left side in terms of sine and cosine.
sin u
sec u + tan u =
cos u
cos u
Simplify by writing the expression from the previous step over a common denominator.
cos u
Rewrite the expression from the previous step by multiplying the numerator and denominator by 1- sin u.
cos u(1- sin u) (Simplity your answer.)
Write the numerator of the expression from the previous step in terms of cosine.
cos u(1- sin u)
cos u
The fraction from the previous step then simplifies to
1- sin u
using what?
O A. Pythagorean Identity
O B. Even-Odd Identity
O C. Quotient Identity
O D. Cancellation Property
O E. Reciprocal Identity
Transcribed Image Text:Print 7. Establish the identity. cos u sec u+ tanu= 1- sin u Write the left side in terms of sine and cosine. sin u sec u + tan u = cos u cos u Simplify by writing the expression from the previous step over a common denominator. cos u Rewrite the expression from the previous step by multiplying the numerator and denominator by 1- sin u. cos u(1- sin u) (Simplity your answer.) Write the numerator of the expression from the previous step in terms of cosine. cos u(1- sin u) cos u The fraction from the previous step then simplifies to 1- sin u using what? O A. Pythagorean Identity O B. Even-Odd Identity O C. Quotient Identity O D. Cancellation Property O E. Reciprocal Identity
Expert Solution
Step 1

To establish the following identity.sec u+tan u=cos u1-sin u

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