Question

Find the exact value of the following expression.\\ $\tan \left[\cos^{-1} \left(\frac{12}{13}\right) + \tan^{-1} \left(\frac{2}{7}\right)\right]$ \\ $\tan \left[\cos^{-1} \left(\frac{12}{13}\right) + \tan^{-1} \left(\frac{2}{7}\right)\right] = \square$ (Type an integer or a simplified fraction.)

          Find the exact value of the following expression.\\
$\tan \left[\cos^{-1} \left(\frac{12}{13}\right) + \tan^{-1} \left(\frac{2}{7}\right)\right]$ \\
$\tan \left[\cos^{-1} \left(\frac{12}{13}\right) + \tan^{-1} \left(\frac{2}{7}\right)\right] = \square$ (Type an integer or a simplified fraction.)

$Find the exact value of the following expression. tan[cos^-1((12)/(13)) + tan^-1((2)/(7))] tan[cos^-1((12)/(13)) + tan^-1((2)/(7))] = □ (Type an integer or a simplified fraction.)$

Added by Ivan H.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Suman Saurav Thakur

04/06/2022

Step 1

cos^(-1)((12)/(13)) is the angle whose cosine is (12/13). This means that the adjacent side is 12 and the hypotenuse is 13. Using the Pythagorean theorem, we can find the opposite side to be sqrt(13^2 - 12^2) = 5. Therefore, cos^(-1)((12)/(13)) = cos^(-1)(12/13) = Show more…

Show all steps

Thanks for your feedback!

Find the exact value of the following expression. tan[cos^(-1)((12)/(13))+tan^(-1)((2)/(7))] tan[cos^(-1)((12)/(13))+tan^(-1)((2)/(7))]= (Type an integer or a simplified fraction.) KK Find the exact value of the following expression tan[c.os-1[13]+ tan-[]