Approximate $\tan ^ { - 1 } ( 3 )$ Round your answer to four decimal places.
A) 1.2490
B) 0.3463
C) -0.1425
D) 0.8006
E) -7.0153

Question

Quizplus · Accepted Answer

We can use the formula $	an ^ { - 1 } ( x ) + 	an ^ { - 1 } ( \frac { 1 }{ x } ) = \frac { \pi }{ 2 }$ to find $	an ^ { - 1 } ( 3 )$. We have $	an ^ { - 1 } ( \frac { 1 }{ 3 } )$ so $x = \frac{1}{3}$ in the formula. Therefore, $	an ^ { - 1 } ( 3 ) = \frac { \pi }{ 2 } - 	an ^ { - 1 } ( \frac { 1 }{ 3 } ) \approx 1.2490.$ The closest choice is $\boxed{	extbf{(A)}}$.

Approximate tan⁡−1(3)\tan ^ { - 1 } ( 3 )tan−1(3) Round Your Answer to Four Decimal Places

Approximate $\tan ^ { - 1 } ( 3 )$ Round Your Answer to Four Decimal Places