Verify the identity. 1 1 sec(x) + tan(x) sec(x) - tan(x) + 1 1 sec(x) + tan(x) sec(x) - tan(x) + = = = 2 sec(x) sec(x) + tan(x) + sec(x) − tan(x) (sec(x) + tan(x)) ( sec²(x) - tan²(x) 2 sec(x)

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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Verify the identity.
1
1
sec(x) + tan(x) sec(x) - tan(x)
1
sec(x) + tan(x)
+
+
1
sec(x) - tan(x)
=
=
= 2 sec(x)
sec(x) + tan(x) + sec(x) − tan(x)
(sec(x) + tan(x)) (
sec²(x) - tan²(x)
= 2 sec(x)
Transcribed Image Text:Verify the identity. 1 1 sec(x) + tan(x) sec(x) - tan(x) 1 sec(x) + tan(x) + + 1 sec(x) - tan(x) = = = 2 sec(x) sec(x) + tan(x) + sec(x) − tan(x) (sec(x) + tan(x)) ( sec²(x) - tan²(x) = 2 sec(x)
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