Question

If $\sec \theta =1.414$, then $\sin \theta$ is

• A. $0.5$
• B. $0.71$
• C. $0.86$
• D. $1.414$
• E. $0.67$

Answer 1

Answer: (B)

$0.71$

Given, $\sec \theta =1.414$
So, $\cos \theta =\frac{1}{\sec \theta }=\frac{1}{1.414}=0.707$
Therefore, $\sin \theta =\sqrt{1-{\cos }^2\theta }$

$=\sqrt{1-{\left(0.707\right)}^2}$

$=\sqrt{1-0.5}=\sqrt{0.5}$

$=0.71$