Use a calculator to evaluate $\csc \left( \frac { \pi } { 10 } \right)$ .Round your answer to four decimal places.
A)-1.8382
B)-24.0997
C)0.3090
D)3.2361
E)-0.0415

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function. To find $\csc \left( \frac { \pi } { 10 } \right)$, first calculate $\sin \left( \frac { \pi } { 10 } \right)$ and then take the reciprocal. Using a calculator, $\sin \left( \frac { \pi } { 10 } \right) \approx 0.3090$, so $\csc \left( \frac { \pi } { 10 } \right) = \frac{1}{\sin \left( \frac { \pi } { 10 } \right)} \approx \frac{1}{0.3090} \approx 3.2361$.

Use a Calculator to Evaluate csc⁡(π10)\csc \left( \frac { \pi } { 10 } \right)csc(10π​)

Use a Calculator to Evaluate $\csc \left( \frac { \pi } { 10 } \right)$