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)
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)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 51E
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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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