What is cos(pi/4+x/4) ?

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

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simplify cos(pi/4+x/4)

simplify

cos (\frac{π}{4} + \frac{x}{4})

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

Solution steps

cos (\frac{π}{4} + \frac{x}{4})

Rewrite using trig identities

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

cos (3 x - \frac{π}{2})

cos (\frac{π}{2} + a)

ln ((cos (x))^{- 1})

- cot (\frac{π}{2} - x)

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

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