What is cos(x-(5pi)/8) ?

The solution to cos(x-(5pi)/8) is -(sqrt(2-\sqrt{2)})/2 cos(x)+(sqrt(2+\sqrt{2)})/2 sin(x)

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simplify cos(x-(5pi)/8)

simplify

cos (x - \frac{5 π}{8})

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

Solution steps

cos (x - \frac{5 π}{8})

Rewrite using trig identities

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

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sin (x) sin (- 4 x)

3 sin (4 \cdot x + 5 π)

What is cos(x-(5pi)/8) ?
The solution to cos(x-(5pi)/8) is -(sqrt(2-\sqrt{2)})/2 cos(x)+(sqrt(2+\sqrt{2)})/2 sin(x)