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

Question

Find the values of

\theta

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 Find the values o =

\sqrt { 2 }

and cot Find the values o= 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

For $\sec \theta = \sqrt{2}$, $\theta = 45^\circ = \frac{\pi}{4}$ because $\sec 45^\circ = \frac{1}{\cos 45^\circ} = \sqrt{2}$. For $\cot \theta = 1$, $\theta = 45^\circ$ because $\cot 45^\circ = 1$.

Find the Values Of θ\thetaθ In Degrees (0∘≤θ≤90∘)\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } \right)(0∘≤θ≤90∘)

Find the Values Of $\theta$ In Degrees $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } \right)$