If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or
negative.
-$\tan \theta$, given that $\cot \theta = \frac { \sqrt { 11 } } { 4 }$
A) $\frac { 4 \sqrt { 11 } } { 11 }$
B) $\frac { \sqrt { 11 } } { 11 }$
C) $\frac { \sqrt { 4 } } { 11 }$
D) $\frac { 11 \sqrt { 11 } } { 4 }$

Question

Quizplus · Accepted Answer

The tangent function is the reciprocal of the cotangent function. Given $\cot \theta = \frac{\sqrt{11}}{4}$, the reciprocal is $\tan \theta = \frac{1}{\cot \theta} = \frac{4}{\sqrt{11}}$, which simplifies to $\frac{4\sqrt{11}}{11}$ when rationalized.

If R Is a Positive Number and the Point (X tan⁡θ\tan \thetatanθ

If R Is a Positive Number and the Point (X $\tan \theta$