Prove the following identities.         sin theta tan theta + cos theta = sec theta

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.1: Basic Graphs
Problem 70PS
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Prove the following identities.

 

 

 

 

sin theta tan theta + cos theta = sec theta 

Expert Solution
Step 1

We have to prove:

sinθtanθ+cosθ=secθ

We know following relations for trigonometric ratios:

sin2θ+cos2θ=1tanθ=sinθcosθ

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