What is 2cos(x+pi/4) ?

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

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simplify 2cos(x+pi/4)

simplify

2 cos (x + \frac{π}{4})

2 cos (x) - 2 sin (x)

Solution steps

2 cos (x + \frac{π}{4})

Rewrite using trig identities

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

Simplify

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

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

sin (x + \frac{π}{4})

sin (- x - π)

5 sin (- 2 x + 6 0^{\circ}) + 3

sin (arctan (y))

tan (arctan (2 x))

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