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

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

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expand cos(pi/(12))

expand

cos (\frac{π}{12})

\frac{3}{2 2} + \frac{1}{2 2}

Decimal Notation

0.96592 \dots

Solution steps

cos (\frac{π}{12})

Rewrite using trig identities:

cos (\frac{π}{4}) cos (\frac{π}{6}) + sin (\frac{π}{4}) sin (\frac{π}{6})

= cos (\frac{π}{4}) cos (\frac{π}{6}) + sin (\frac{π}{4}) sin (\frac{π}{6})

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

= \frac{2}{2} \cdot \frac{3}{2} + \frac{2}{2} \cdot \frac{1}{2}

Simplify

\frac{2}{2} \cdot \frac{3}{2} + \frac{2}{2} \cdot \frac{1}{2} : \frac{6 + 2}{4}

= \frac{6 + 2}{4}

Simplify

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

(\frac{4}{c})^{3}

\frac{\partial}{\partial y} ((z) (x^{2} e^{y} - yz e^{x}))

\frac{15}{s ( s + 3 )}

l (- 5 e - 2 t + cos (8 t) + 1)

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