What is sin(x+pi/8) ?

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

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simplify sin(x+pi/8)

simplify

sin (x + \frac{π}{8})

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

Solution steps

sin (x + \frac{π}{8})

Rewrite using trig identities

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

cos (arctan (- \frac{u}{g}))

cos (arcsec (9 x))

cos (θ) + cos (- θ)

sin (- 6 x)

sin (- x) + cos (\frac{π}{2} - x)

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