Verify the identity. 1+ tan? u 1- tan? cos? u - sin? u

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section8.3: Products And Quotients In Trigonometric Form
Problem 63PS
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Verify the identity.
1 + tan? u
ta)- cos? u – sin² u
8.
A1 - tan? u
Use a Reciprocal Identity, and simplify the compound fraction by multiplying
by a common factor.
8
1 +
1+ tan? u
1- tan?
cos? u
sin?
cos u
1 -
8 1 +
(cos² u)
cos? u
sin u
cos?
1 -
+ sin? u)
cos? u -
sin u
Use a Pythagorean Identity.
Transcribed Image Text:Verify the identity. 1 + tan? u ta)- cos? u – sin² u 8. A1 - tan? u Use a Reciprocal Identity, and simplify the compound fraction by multiplying by a common factor. 8 1 + 1+ tan? u 1- tan? cos? u sin? cos u 1 - 8 1 + (cos² u) cos? u sin u cos? 1 - + sin? u) cos? u - sin u Use a Pythagorean Identity.
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