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

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

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simplify sqrt(2)sin(2x-pi/4)

simplify

2 sin (2 x - \frac{π}{4})

sin (2 x) - cos (2 x)

Solution steps

2 sin (2 x - \frac{π}{4})

Rewrite using trig identities

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

Simplify

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

= sin (2 x) - cos (2 x)

u^{2} \frac{d u}{sin ( x )}

2 1 - sin^{2} (x)

sin (π \cdot x - π)

8 cos (1.57 x + 1.57)

sin (0.1 + x)

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