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

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

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

simplify

2 sin (x - \frac{π}{4})

sin (x) - cos (x)

Solution steps

2 sin (x - \frac{π}{4})

Rewrite using trig identities

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

Simplify

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

= sin (x) - cos (x)

sin (X - \frac{π}{3})

- cos (arcsin (x))

1 - sin^{2} (a) + 5

- cos (θ + 9 0^{\circ}) sin (0)

sin (100 π - x)

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