What is factor cos((4pi)/3) ?

The solution to factor cos((4pi)/3) is -1/2

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factor cos((4pi)/3)

factor

cos (\frac{4 π}{3})

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

cos (\frac{4 π}{3})

Rewrite using trig identities:

cos (π) cos (\frac{π}{3}) - sin (π) sin (\frac{π}{3})

= cos (π) cos (\frac{π}{3}) - sin (π) sin (\frac{π}{3})

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

Use the following trivial identity:

sin (π) = 0

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

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

Simplify

= - \frac{1}{2}

3 x^{2} y e^{3 y} - 3 x y^{2} e^{3 y}

\frac{d}{d y} ((x) (y cos (x)))

k + (- 24)

\frac{1 - 1}{1 - 1}