What is expand cos((17pi)/(12)) ?

The solution to expand cos((17pi)/(12)) is 1/(2sqrt(2))-(sqrt(3))/(2sqrt(2))

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expand cos((17pi)/(12))

expand

cos (\frac{17 π}{12})

\frac{1}{2 2} - \frac{3}{2 2}

Decimal Notation

- 0.25881 \dots

Solution steps

cos (\frac{17 π}{12})

Rewrite using trig identities:

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

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

Use the following trivial identity:

cos (\frac{3 π}{4}) = - \frac{2}{2}

Use the following trivial identity:

cos (\frac{2 π}{3}) = - \frac{1}{2}

Use the following trivial identity:

sin (\frac{3 π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{2 π}{3}) = \frac{3}{2}

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

Simplify

(- \frac{2}{2}) (- \frac{1}{2}) - \frac{2}{2} \cdot \frac{3}{2} : \frac{2 - 6}{4}

= \frac{2 - 6}{4}

Simplify

= \frac{1}{2 2} - \frac{3}{2 2}

(- x + 4) \cdot (3 x + 6)

, (5 x - 11) 2

((y + x y^{3}) d x + x d y = 0) y + x y^{3}

\frac{x}{( x - 1 ) ( x ^{2} + 1 )}

\frac{N ( N + 1 ) ( 2 N + 1 )}{6}

What is expand cos((17pi)/(12)) ?
The solution to expand cos((17pi)/(12)) is 1/(2sqrt(2))-(sqrt(3))/(2sqrt(2))