Please answer parts a, c, d, e, and f. The options for part e is yes or no. We wish to prove the following trig identity:cos(8)sin(0)= sin(0) + cos(0)1- tan(0)1- cot(0)a. First, begin by rewriting each of the trig functions on the left hand side of the equality in terms of only sines andsin(z)-):cosines (for example, rewrite tan(x) ascos(x)cos(8)sin(0)Preview1- tan(0)1- cot(6)* Try again. Remember, rewrite the expression in terms of sines and cosines, but don't simplify yet!b. Rewrite your expression from part (a) by multiplying the numerator and denominator of the first fraction bycos(0) and simplify the result. Multiply the numerator and denominator of the second fraction by sin(0) andsimplify the result. However, do not simplify further yet. Your answer should be an expression which is the sumof two fractions still. (still keep everything in terms of sines and cosines):sin(8)+1- cot(0)cos(0)Preview1- tan(0)sin(0)+1- cot(0)cos(0)Correct! This expression is equivalent to1- tan(0)c. Rewrite you answer from part (b) as an expression of a single fraction. Begin by rewriting the fractions fromyour answer in part (b) as equivalent fractions with a common denominator. (Hint: what is the relationshipbetween the factors (x – 2) and (2 – x)?).cos(e)sin(0)Preview1- tan(0)1- cot(0)* Try again. Your answer should now be an expression of a single fraction, still in terms of sines and cosines.d. Factor the numerator and simplify the result (Hint: the numerator is similar to an expression of the form æ? – 22).Preview e. Does your answer in part (c) match the expression on the right hand side of the equality above?f. If you said "No" in part (d), use reciprocal identities, pythagorean identities, double angle formulas, half angleformulas, etc. to simplify further. If you selected "Yes", type 0 as your answer.Preview

Answered: Image /qna-images/answer/268642a7-fa5d-4103-a614-83b6a909abed.jpg

Answered: Please answer parts a, c, d, e, and f.…

Math

Trigonometry

Please answer parts a, c, d, e, and f. The options for part e is yes or no.

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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