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

Determine the principal value of the function: arc

humphreybrittany42

11.03.2022

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

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masaiyahrhemanow

19.01.2023

B and C

Step-by-step explanation:

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