If sin e= and 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 43RE
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Question
If sin e=
and 0<es, find the exact value of tan 20.
%3D
4
24
24
4
Transcribed Image Text:If sin e= and 0<es, find the exact value of tan 20. %3D 4 24 24 4
Expert Solution
Step 1

Given,        sinθ=35 and 0θπ2

Step 2

Now,        sinθ=35            Since, θ lies in the 2nd quadrant, so cosθ will be positive.      cosθ=1-sinθ2      cosθ=1-352      cosθ=1-925      cosθ=1625      cosθ=45      tanθ=sinθcosθ     tanθ=3545     tanθ=34

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