Is sin((4pi)/3)=sqrt(3)cos((2pi)/3) ?

The answer to whether sin((4pi)/3)=sqrt(3)cos((2pi)/3) is True

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prove sin((4pi)/3)=sqrt(3)cos((2pi)/3)

prove

sin (\frac{4 π}{3}) = 3 cos (\frac{2 π}{3})

True

Solution steps

sin (\frac{4 π}{3}) = 3 cos (\frac{2 π}{3})

Manipulating left side

sin (\frac{4 π}{3})

Simplify

sin (\frac{4 π}{3}) : - \frac{3}{2}

= - \frac{3}{2}

Manipulating right side

3 cos (\frac{2 π}{3})

Simplify

cos (\frac{2 π}{3}) 3 : - \frac{3}{2}

= - \frac{3}{2}

We showed that the two sides could take the same form

\Rightarrow True

sin^{2} (x) + sin^{2} (θ) = 1

\frac{cot ( x ) - sec ( x )}{csc ( x )} = 1

tan^{2} (0) = - tan (0)

csc (2 y) = \frac{csc ( y )}{2 cos ( y )}

cos (θ - 27 0^{\circ}) = - sin (θ)

Is sin((4pi)/3)=sqrt(3)cos((2pi)/3) ?
The answer to whether sin((4pi)/3)=sqrt(3)cos((2pi)/3) is True