What is the value of -3pi+sin^2((-3pi)/3)-8 ?

The value of -3pi+sin^2((-3pi)/3)-8 is -3pi-8

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-3pi+sin^2((-3pi)/3)-8

- 3 π + sin^{2} (\frac{- 3 π}{3}) - 8

- 3 π - 8

Decimal Notation

- 17.42477 \dots

Solution steps

- 3 π + sin^{2} (\frac{- 3 π}{3}) - 8

Simplify

= - 3 π + sin^{2} (- π) - 8

Use the following property:

sin (- x) = - sin (x)

sin (- π) = - sin (π)

= - 3 π + (- sin (π))^{2} - 8

Simplify

= - 3 π + sin^{2} (π) - 8

Use the following trivial identity:

sin (π) = 0

sin (π)

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 0

= - 3 π + 0^{2} - 8

Simplify

= - 3 π - 8

arccos (\frac{2}{29})

- 7 cos (0)

cot (\frac{14 π}{3})

arccos (0.68)

arccos (0.91)

What is the value of -3pi+sin^2((-3pi)/3)-8 ?
The value of -3pi+sin^2((-3pi)/3)-8 is -3pi-8