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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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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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