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

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

Quizplus · Accepted Answer

sec 30° = 1/cos 30° = 1/(√3/2) = 2/√3 = 2√3/3

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

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