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. sec ? = $\sqrt { 2 }$ and cot ? = 1
?
?
A)45° = $\frac { \pi } { 4 }$
B)?90° = $\frac { \pi } { 2 }$
C)?0° = 0
D)?60° = $\frac { \pi } { 3 }$
E)?30° = $\frac { \pi } { 6 }$

Quizplus · Accepted Answer

sec θ = $\sqrt{2}$ corresponds to an angle of 45° or $\frac{\pi}{4}$ radians, and cot θ = 1 also corresponds to an angle of 45° or $\frac{\pi}{4}$ radians, since both sec and cot are equal to $\sqrt{2}$ and 1, respectively, at this angle in the first quadrant.

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 $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } \right)$