θ is an acute angle and sin θ and cos θ are given. Use identities to find the indicated value.
-$\sin \theta = - \frac { \sqrt { 5 } } { 3 } , \cos \theta = \frac { 2 } { 3 }$. Find $\cot \theta$
A) $\frac { - 2 \sqrt { 5 } } { 5 }$
B) $\frac { - 3 \sqrt { 5 } } { 5 }$
C) $\frac { 3 } { 2 }$
D) $\frac { \sqrt { 5 } } { 2 }$ θ is an acute angle and sin θ is given. Use the Pythagorean identity sin2 θ + cos2 θ = 1 to find cos θ.

Question

Quizplus · Accepted Answer

$\cot \theta = \frac{\cos \theta}{\sin \theta} = \frac{2/3}{-\sqrt{5}/3} = \frac{-2\sqrt{5}}{5}$.

θ Is an Acute Angle and Sin θ and Cos sin⁡θ=−53,cos⁡θ=23\sin \theta = - \frac { \sqrt { 5 } } { 3 } , \cos \theta = \frac { 2 } { 3 }sinθ=−35​​,cosθ=32​

θ Is an Acute Angle and Sin θ and Cos $\sin \theta = - \frac { \sqrt { 5 } } { 3 } , \cos \theta = \frac { 2 } { 3 }$