Complete the proof of the identity by choosing the Rule that justifies each step. (sec2x-1)csc2x = sec2x (sec2x-1)csc2x =  Step a) = tan2xcsc2x               Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even? Step b) = (sin2x / cos2x) csc2x          Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even? Step c) = (sin2x / cos2x)(1 / sin2x)        Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even? Step d) = 1 / cos2x                 Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even? Step e) = sec2x                    Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even?

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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Complete the proof of the identity by choosing the Rule that justifies each step.

(sec2x-1)csc2x = sec2x

(sec2x-1)csc2x = 

Step a) = tan2xcsc2x               Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even?

Step b) = (sin2x / cos2x) csc2x          Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even?

Step c) = (sin2x / cos2x)(1 / sin2x)        Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even?

Step d) = 1 / cos2x                 Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even?

Step e) = sec2x                    Is the rule algebra, reviprocal, quotient, pythagorean, or odd/even?

 

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