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Prove the identity.$$\tan x \csc x=\sec x$$

$\tan x \csc x=\frac{\sin x}{\cos x} \cdot \frac{1}{\sin x}=\frac{1}{\cos x}=\sec x$

Precalculus

Chapter 7

Trigonometric Identities and Equations

Section 1

Basic Identities and Proofs

Algebra Topics That are Reviewed at the Start of the Semester

Trigonometry

Campbell University

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Lectures

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Let's go ahead and start with the left hand side. That's 10 of X times Cosi can't of X And now let's go ahead and rewrite this equation. Using the definitions of Tana Backs and Co ck Innovex we have. This is equal to sign of X divided by co sign of X times one over sign of X. Now notice the science Cancel out. We're left with one over CO sign X, and this, by definition, is equal to seek out of X. That's it.

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