Question

Given: $ an heta = -frac{12}{5}$ and $cos heta < 0$ State the value of the other five trigonometric functions. $sin heta = $ $cos heta = $ $ an heta = $ $cot heta = $ $csc heta = $ $sec heta = $

          Given: $	an 	heta = -frac{12}{5}$ and $cos 	heta < 0$

State the value of the other five trigonometric functions.
$sin 	heta = $
$cos 	heta = $
$	an 	heta = $
$cot 	heta = $
$csc 	heta = $
$sec 	heta = $

$Given: an heta = -frac125 and cos heta < 0 State the value of the other five trigonometric functions. sin heta = cos heta = an heta = cot heta = csc heta = sec heta =$

Added by Richard P.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Lauren Shelton

04/12/2023

Step 1

Since $\tan{\theta} = 12$ and $\cos{\theta} < 0$, we can deduce that $\sin{\theta} > 0$. Now, let's use the Pythagorean identity: $\sin^2{\theta} + \cos^2{\theta} = 1$. We can rewrite this as $\cos^2{\theta} = 1 - \sin^2{\theta}$. We know that $\tan{\theta} = 12 Show more…

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