Question

What is the value of $\cos ec30°$?

Answer 1

Find the value of $\cos ec30°$.

$\begin{array}{rcl}\cos ec30°& =& \frac{1}{\sin 30°}\left\{\because \cos ec\theta =\frac{1}{\sin \theta }\right\}\\ & \Rightarrow & \cos ec30°=\frac{1}{{\displaystyle \frac{1}{2}}}\left\{\because \sin 30°=\frac{1}{2}\right\}\\ & \Rightarrow & \cos ec30°=2\end{array}$

Hence, the value of $\begin{array}{l}\cos ec30°\end{array}$ is $2$.