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

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

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

simplify

2 sin (\frac{π}{4} + x)

cos (x) + sin (x)

Solution steps

2 sin (\frac{π}{4} + x)

Rewrite using trig identities

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

Simplify

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

= cos (x) + sin (x)

sec (θ + 72 0^{\circ})

cos (4 π - nπ)

sin (\frac{nπ}{2}) - sin (nπ)

4 cos (100 π t + π)

\frac{1}{csc ( θ ) sin ( - θ )}

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