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Factor the expression and use the fundamental identities to simplify. Use a graphing utility to check your result graphically. (sec²(x)) (tan² (x)) + /sec²(x) STER

Factor the expression and use the fundamental identities to simplify. Use a graphing utility to check your result graphically. (sec²(x)) (tan² (x)) + /sec²(x) STER

Trigonometry (11th Edition)
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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Question
Factor the expression and use the fundamental identities to simplify. Use a graphing utility to check your result graphically. (sec²(x)) (tan² (x)) +/sec²(x) STEP 1: Multiply constants. 72 (sec²(x)) (tan²(x)) + 3 sec²(x) = || 35 STEP 2: Factor. 8 72 ( ³² sec²(x) ) ( 7 tan²(x)) + 3² sec²(x) = | 35 8 (sec²(x) ) ( tan²(x)) + STEP 3: Apply the appropriate fundamental trigonometric identity and simplify. 72 sec¹(x) 35 72 35 sec²(x)tan²(x) + sec²(x) = (tan²(x) + 1) 72 35 sec²(x)
Transcribed Image Text:Factor the expression and use the fundamental identities to simplify. Use a graphing utility to check your result graphically. (sec²(x)) (tan² (x)) +/sec²(x) STEP 1: Multiply constants. 72 (sec²(x)) (tan²(x)) + 3 sec²(x) = || 35 STEP 2: Factor. 8 72 ( ³² sec²(x) ) ( 7 tan²(x)) + 3² sec²(x) = | 35 8 (sec²(x) ) ( tan²(x)) + STEP 3: Apply the appropriate fundamental trigonometric identity and simplify. 72 sec¹(x) 35 72 35 sec²(x)tan²(x) + sec²(x) = (tan²(x) + 1) 72 35 sec²(x)
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