What is cos(x-pi/(12)) ?

The solution to cos(x-pi/(12)) is (sqrt(6)+sqrt(2))/4 cos(x)+(sqrt(6)-sqrt(2))/4 sin(x)

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simplify cos(x-pi/(12))

simplify

cos (x - \frac{π}{12})

\frac{6 + 2}{4} cos (x) + \frac{6 - 2}{4} sin (x)

Solution steps

cos (x - \frac{π}{12})

Rewrite using trig identities

= \frac{6 + 2}{4} cos (x) + \frac{6 - 2}{4} sin (x)

1 + (- cot (x))^{2}

2 cos (x + \frac{π}{2})

cos (- arctan (\frac{b}{a}))

cos (b) x - cos (\frac{π}{2} - b x)

tan (e^{6 (x - y)} - 1 - e^{6 (x - y)})

What is cos(x-pi/(12)) ?
The solution to cos(x-pi/(12)) is (sqrt(6)+sqrt(2))/4 cos(x)+(sqrt(6)-sqrt(2))/4 sin(x)