What is the value of sin(((5pi))/3) ?

The value of sin(((5pi))/3) is -(sqrt(3))/2

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Find the Exact Value sin((5pi)/3)

sin (\frac{( 5 π )}{3})

- \frac{3}{2}

Solution steps

sin (\frac{( 5 π )}{3})

= sin (\frac{5 π}{3})

Rewrite using trig identities:

sin (π) cos (\frac{2 π}{3}) + cos (π) sin (\frac{2 π}{3})

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

Use the following trivial identity:

sin (π) = 0

Use the following trivial identity:

cos (\frac{2 π}{3}) = - \frac{1}{2}

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

sin (\frac{2 π}{3}) = \frac{3}{2}

= 0 \cdot (- \frac{1}{2}) + (- 1) \frac{3}{2}

Simplify

= - \frac{3}{2}

sin (\frac{( 5 π )}{2})

sin (\frac{( 3 π )}{2})

x, k = \frac{( 1 + sin ( x ) )}{n}

a, tan (a) = \frac{1}{3}

cos (\frac{( 4 π )}{3})

What is the value of sin(((5pi))/3) ?
The value of sin(((5pi))/3) is -(sqrt(3))/2