What is sin((pix)/2-pi/4) ?

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

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simplify sin((pix)/2-pi/4)

simplify

sin (\frac{π x}{2} - \frac{π}{4})

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

Solution steps

sin (\frac{π x}{2} - \frac{π}{4})

Rewrite using trig identities

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

cot (18 0^{\circ} + x)

sin (2 x + π)

sec (arccsc (3 x))

2 cos (u + \frac{π}{3})

cos (x - 6 0^{\circ})

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