$\text { What is } P _ { 1 } \text {, a first-degree polynomial function whose value and slope agree with the }$

Multiple Choice

$\text { What is } P _ { 1 } \text {, a first-degree polynomial function whose value and slope agree with the }$ value and slope of $f ( x ) = 10 \tan ( x )$ at $x = \frac { \pi } { 4 }$ ?

A) $P _ { 1 }$ is the tangent line to the curve $f ( x ) = 10 \tan ( x )$ at the point $\left( 10 , \frac { \pi } { 4 } \right)$ .
B) $P _ { 1 }$ is the tangent line to the curve $f ( x ) = 10 \tan ( x )$ at the point $\left( \frac { \pi } { 4 } , 10 \right)$ .
C) $P _ { 1 }$ is the tangent line to the curve $f ( x ) = 10 \tan ( x )$ at the point $\left( 13 , \frac { \pi } { 4 } \right)$ .
D) $P _ { 1 }$ is the tangent line to the curve $f ( x ) = 10 \tan ( x )$ at the point $\left( 10 , - \frac { \pi } { 4 } \right)$ .
E) $P _ { 1 }$ is the tangent line to the curve $f ( x ) = 10 \tan ( x )$ at the point $\left( \frac { \pi } { 4 } , - 10 \right)$ .