Is sin((2pi)/3)=sin(pi/3) ?

The answer to whether sin((2pi)/3)=sin(pi/3) is True

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prove sin((2pi)/3)=sin(pi/3)

prove

sin (\frac{2 π}{3}) = sin (\frac{π}{3})

True

Solution steps

sin (\frac{2 π}{3}) = sin (\frac{π}{3})

Manipulating left side

sin (\frac{2 π}{3})

Simplify

= \frac{3}{2}

Manipulating right side

sin (\frac{π}{3})

Simplify

= \frac{3}{2}

We showed that the two sides could take the same form

\Rightarrow True

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sin (2 θ) = \frac{1}{2}

\frac{1}{sin ( x )} - \frac{1}{tan ( x )} = tan (\frac{1}{2} x)

tan^{2} (x) = - 1 + sec^{2} (x)

Is sin((2pi)/3)=sin(pi/3) ?
The answer to whether sin((2pi)/3)=sin(pi/3) is True