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

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

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simplify-sin(x-pi/4)

simplify

- sin (x - \frac{π}{4})

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

Solution steps

- sin (x - \frac{π}{4})

Rewrite using trig identities

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

sin (- 4 5^{o})

2 sin (2 x - \frac{π}{4})

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

2 1 - sin^{2} (x)

sin (π \cdot x - π)

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