What is sin(1/3 x-pi/4) ?

The solution to sin(1/3 x-pi/4) is (sqrt(2)sin(x/3)-sqrt(2)cos(x/3))/2

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simplify sin(1/3 x-pi/4)

simplify

sin (\frac{1}{3} x - \frac{π}{4})

\frac{2 sin ( \frac{x}{3} ) - 2 cos ( \frac{x}{3} )}{2}

Solution steps

sin (\frac{1}{3} x - \frac{π}{4})

Rewrite using trig identities

= \frac{2 sin ( \frac{x}{3} ) - 2 cos ( \frac{x}{3} )}{2}

cos (\frac{nπ}{2}) - cos (nπ)

1 - 2 cos (3 x - π)

\frac{x + π}{cos ( x + π )}

cot^{2} (x) + 1

tan (arccos (\frac{3}{x}))

What is sin(1/3 x-pi/4) ?
The solution to sin(1/3 x-pi/4) is (sqrt(2)sin(x/3)-sqrt(2)cos(x/3))/2