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

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

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

prove

(sin (\frac{4 π}{3})) = - \frac{3}{2}

True

Solution steps

sin (\frac{4 π}{3}) = - \frac{3}{2}

Manipulating left side

sin (\frac{4 π}{3})

Simplify

sin (\frac{4 π}{3}) : - \frac{3}{2}

= - \frac{3}{2}

We showed that the two sides could take the same form

\Rightarrow True

sec (x) - sin^{2} (x) = cos (x)

cot^{2} (x) = csc^{2} (x) (1 - sin^{2} (x))

sec (x) - \frac{tan ^{2} ( x )}{sec ( x )} = cos (x)

\frac{cos ( 2 θ )}{- sin ^{2} ( θ )} = cos^{2} (θ)

\frac{1}{cos ^{3} ( x )} = sec^{3} (x)

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