Question

Determine the principal value of the function: Arc sin(square root of 3/2)

Answer 1

Answer:

π/3

Step-by-step explanation:

We have to find the principal value of $\text{arc sin}(\frac{\sqrt{3}}{2} )$

arc sin means sin inverse. The sin inverse is a one to one function with its range between $-\frac{\pi}{2} \textrm{ to } \frac{\pi}{2}$

The principal value of the arc sin will lie within the above given range.

value of sin (60) or sin($\frac{\pi}{3}$) is $\frac{\sqrt{3}}{2}$.

$\frac{\pi}{3}$ lies between $-\frac{\pi}{2}\textrm{ and } \frac{\pi}{2}$

So, from here we can say that the Principal Value of Arc sin(square root of 3/2) is π/3