Additional Concepts
-$\csc x = 1$
A) $- \frac { 3 \pi } { 2 } , \frac { \pi } { 2 }$
B) $- 2 \pi , 0,2 \pi$
C) $- \pi , \pi$
D) none

Question

Quizplus · Accepted Answer

The cosecant function, $\csc x$, is the reciprocal of the sine function. The equation $\csc x = 1$ is equivalent to $\sin x = 1$. The sine function equals 1 at $x = \frac{\pi}{2}$ and any integer multiples of $2\pi$ added to $\frac{\pi}{2}$ do not apply here due to the nature of the cosecant function's period and its undefined values. However, considering the negative direction, $-\frac{3\pi}{2}$ is also a solution since it's equivalent to adding a full cycle ($2\pi$) to $-\frac{\pi}{2}$, which is where sine is -1, but since cosecant is the reciprocal, only positive 1 is considered, making the correct answers $-\frac{3\pi}{2}$ and $\frac{\pi}{2}$.

Additional Concepts - csc⁡x=1\csc x = 1cscx=1 A) −3π2,π2- \frac { 3 \pi } { 2 } , \frac { \pi } { 2 }−23π​,2π​

Additional Concepts
- $\csc x = 1$ A) $- \frac { 3 \pi } { 2 } , \frac { \pi } { 2 }$