Given $\sin 30 ^ { \circ } = \frac { 1 } { 2 }$ and $\cos 30 ^ { \circ } = \frac { \sqrt { 3 } } { 2 }$ ,determine the following: ?sec 30°
?
A)?sec 30° = 1
B)?sec 30° = $\sqrt { 3 }$
C)?sec 30° = $\frac { 2 \sqrt { 3 } } { 3 }$
D)?sec 30° = $\frac { \sqrt { 2 } } { 2 }$
E)undefined

Question

Quizplus · Accepted Answer

Secant is the reciprocal of cosine, so $\sec 30^\circ = \frac{1}{\cos 30^\circ} = \frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}} = \frac{2\sqrt{3}}{3}$.

Given sin⁡30∘=12\sin 30 ^ { \circ } = \frac { 1 } { 2 }sin30∘=21​

Given $\sin 30 ^ { \circ } = \frac { 1 } { 2 }$