Establish the identity. 1- sin 0 cos e = 2 sec e cos e 1- sin 0 Write the left side of the expression with a common denominator. Do not expand the numerator. .... cos 0(1- sin 0) Expand and simplify the numerator by rewriting without any parentheses. 2 + cos 0 cos 0(1 - sin 0) Apply an appropriate Pythagorean Identity to simplify the numerator of the expression from the previous step. cos e(1- sin 0) (Do not factor.) Factor the numerator and cancel out the like terms of the expression from the previous step. Do not apply any trigonometric identity. (Simplify your answers.) The fraction from the previous step then simplifies to 2 sec e using what? O A. Quotient Identity O B. Even-Odd Identity C. Pythagorean Identity OD. Reciprocal Identity O E. Cancellation Property
Establish the identity. 1- sin 0 cos e = 2 sec e cos e 1- sin 0 Write the left side of the expression with a common denominator. Do not expand the numerator. .... cos 0(1- sin 0) Expand and simplify the numerator by rewriting without any parentheses. 2 + cos 0 cos 0(1 - sin 0) Apply an appropriate Pythagorean Identity to simplify the numerator of the expression from the previous step. cos e(1- sin 0) (Do not factor.) Factor the numerator and cancel out the like terms of the expression from the previous step. Do not apply any trigonometric identity. (Simplify your answers.) The fraction from the previous step then simplifies to 2 sec e using what? O A. Quotient Identity O B. Even-Odd Identity C. Pythagorean Identity OD. Reciprocal Identity O E. Cancellation Property
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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
Transcribed Image Text:Establish the identity.
1- sin 0
cos e
= 2 sec 0
cos e
1- sin 0
....
Write the left side of the expression with a common denominator. Do not expand the numerator.
cos 0(1- sin 0)
Expand and simplify the numerator by rewriting without any parentheses.
+ cos 0
2
+ Cos
cos 0(1- sin 0)
Apply an appropriate Pythagorean Identity to simplify the numerator of the expression from the previous step.
(Do not factor.)
cos 0(1- sin 0)
Factor the numerator and cancel out the like terms of the expression from the previous step. Do not apply any trigonometric identity.
(Simplify your answers.)
The fraction from the previous step then simplifies to 2 sec 0 using what?
O A. Quotient Identity
B. Even-Odd Identity
O C. Pythagorean Identity
D. Reciprocal Identity
O D.
O E. Cancellation Property
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