θ is an acute angle and sin θ and cos θ are given. Use identities to find the indicated value.
-$\sin \theta = \frac { 3 } { 7 } , \cos \theta = \frac { 2 \sqrt { 10 } } { 7 } .$ Find $\csc \theta$
A) $\frac { 7 } { 3 }$
B) $\frac { 7 \sqrt { 10 } } { 20 }$
C) $\frac { 2 \sqrt { 10 } } { 3 }$
D) $\frac { 3 \sqrt { 10 } } { 20 }$

Question

Quizplus · Accepted Answer

The cosecant of an angle is the reciprocal of the sine of that angle. Given $\sin \theta = \frac{3}{7}$, $\csc \theta = \frac{1}{\sin \theta} = \frac{7}{3}$.

θ Is an Acute Angle and Sin θ and Cos sin⁡θ=37,cos⁡θ=2107.\sin \theta = \frac { 3 } { 7 } , \cos \theta = \frac { 2 \sqrt { 10 } } { 7 } .sinθ=73​,cosθ=7210​​.

θ Is an Acute Angle and Sin θ and Cos $\sin \theta = \frac { 3 } { 7 } , \cos \theta = \frac { 2 \sqrt { 10 } } { 7 } .$