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 (t - π) U (t - π)

cos (arcsin (x))

\frac{1}{1 - cos ^{2} ( x )}

sin ((\frac{π}{2}) - x)

sin (\frac{π}{3} + 2 x)

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