Is 2sin(4((5pi)/3))=sqrt(3) ?

The answer to whether 2sin(4((5pi)/3))=sqrt(3) is True

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prove 2sin(4((5pi)/3))=sqrt(3)

prove

2 sin (4 (\frac{5 π}{3})) = 3

True

Solution steps

2 sin (4 \cdot \frac{5 π}{3}) = 3

Manipulating left side

2 sin (4 \frac{5 π}{3})

Simplify

2 sin (4 \frac{5 π}{3}) : 3

= 3

We showed that the two sides could take the same form

\Rightarrow True

sin (a) csc (a) = 1

csc (θ) - cot (θ) = \frac{sin ( θ )}{1 - cos ( θ )}

2 csc (2 x) = tan (x) = cot (x)

\frac{1}{cos ( θ )} \cdot sin (θ) = tan (θ)

sin (4 x) - cos (4 x) = cos (x)

Is 2sin(4((5pi)/3))=sqrt(3) ?
The answer to whether 2sin(4((5pi)/3))=sqrt(3) is True