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

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

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simplify sin(pi/4-x/2)

simplify

sin (\frac{π}{4} - \frac{x}{2})

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

Solution steps

sin (\frac{π}{4} - \frac{x}{2})

Rewrite using trig identities

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

(sec (x) sec (x) - 1) tan (x) d x

cos (18 0^{\circ} - (x + y))

a r cot (- \frac{3}{- 1})

5 cos (4 x + \frac{13 π}{8})

sin (arccos (\frac{x}{( x + 1 )}))

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