What is the value of 1/2 (1-cos((2*pi*2)/3)) ?

The value of 1/2 (1-cos((2*pi*2)/3)) is (1-cos((4pi)/3))/(2)

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1/2 (1-cos((2pi2)/3))

\frac{1}{2} (1 - cos (\frac{2 \cdot π \cdot 2}{3}))

\frac{1 - cos ( \frac{4 π}{3} )}{2}

Decimal Notation

0.75

Solution steps

\frac{1}{2} (1 - cos (\frac{2 π 2}{3}))

Rewrite as

= cos (2 \cdot \frac{2 π}{3})

Rewrite using trig identities:

cos (2 \cdot \frac{2 π}{3}) = 1 - 2 sin^{2} (\frac{2 π}{3})

cos (2 \cdot \frac{2 π}{3})

Use the Double Angle identity:

cos (2 x) = 1 - 2 sin^{2} (x)

= 1 - 2 sin^{2} (\frac{2 π}{3})

= \frac{1}{2} (1 - cos (\frac{2 π 2}{3}))

Simplify:

\frac{2 π 2}{3} = \frac{4 π}{3}

\frac{2 π 2}{3}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4 π}{3}

\frac{1}{2} (1 - cos (\frac{4 π}{3})) = \frac{1 - cos ( \frac{4 π}{3} )}{2}

\frac{1}{2} (1 - cos (\frac{4 π}{3}))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( 1 - cos ( \frac{4 π}{3} ) )}{2}

1 \cdot (1 - cos (\frac{4 π}{3})) = 1 - cos (\frac{4 π}{3})

1 \cdot (1 - cos (\frac{4 π}{3}))

Multiply:

1 \cdot (1 - cos (\frac{4 π}{3})) = (1 - cos (\frac{4 π}{3}))

= (1 - cos (\frac{4 π}{3}))

Remove parentheses:

(a) = a

= 1 - cos (\frac{4 π}{3})

= \frac{1 - cos ( \frac{4 π}{3} )}{2}

= \frac{1 - cos ( \frac{4 π}{3} )}{2}

arcsin (\frac{400}{680})

sin (30. 1^{\circ})

\frac{21.3 sin ( 36. 7 ^{\circ} )}{5 cos ( 3 0 ^{\circ} )}

27 (cos (\frac{π}{3}) + i sin (\frac{π}{3}))

1 + 0.1 \cdot (\frac{1.2}{2}) \cdot tan^{2} (6 0^{\circ})

What is the value of 1/2 (1-cos((2*pi*2)/3)) ?
The value of 1/2 (1-cos((2*pi*2)/3)) is (1-cos((4pi)/3))/(2)