If $\sin 30° an 45° = \frac{\sec 60°}{k}$, then the value of $k$ is:

Question

If $\sin 30° 	an 45° = \frac{\sec 60°}{k}$, then the value of $k$ is:

Accepted Answer

Step 1: $\sin 30° 	imes 	an 45° = \frac{1}{2} 	imes 1 = \frac{1}{2}$. $\sec 60° = 2$. So $\frac{1}{2} = \frac{2}{k} \Rightarrow k = 4$.

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