Question: Sine Function vs. the X-value intersecting the unit circle

[xxMsJojoxx]

I know that .

However, when I key it in the calculator.
=0.018276
and
=0.866025

Why is this?

 

[pka]

The angles \(\dfrac{\pi}{3}~\&~\dfrac{\pi}{6}\) are in "one-half" of an equilateral triangle.
That is a right triangle with sides of measures \(1,~2,~\&~\sqrt 3\)
So \(\sin\left(\dfrac{\pi}{3}\right)=\dfrac{\sqrt{3}}{2}~\&~\sin\left(\dfrac{\pi}{6}\right)=\dfrac{1}{2}\).

 

[Dr.Peterson]

I know that View attachment 22446.

However, when I key it in the calculator.
View attachment 22447=0.018276
and
View attachment 22448=0.866025

Why is this?

You found the sine of pi/3 degrees, not radians!

Try putting the calculator into radian mode.