Find the values of ? in degrees $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } \right)$ and radians $\left( 0

Question

Find the values of ? in degrees $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } \right)$ and radians $\left( 0 < \theta < \frac { \pi } { 2 } \right)$ without the aid of a calculator. ?sin ? = 1 and csc ? = 1
?
?
A)90° = $\frac { \pi } { 2 }$
B)?30° = $\frac { \pi } { 6 }$
C)?0° = 0
D)?60° = $\frac { \pi } { 3 }$
E)?45° = $\frac { \pi } { 4 }$

Quizplus · Accepted Answer

The sine function equals 1 only at $\theta = 90^\circ$ or $\theta = \frac{\pi}{2}$ radians. The cosecant (csc) function is the reciprocal of the sine function, and csc $\theta = 1$ also corresponds to sin $\theta = 1$, which occurs at the same angle.

Find the Values of ? in Degrees (0∘≤θ≤90∘)\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } \right)(0∘≤θ≤90∘)

Find the Values of ? in Degrees $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } \right)$