What is sqrt(8)cos(x+45) ?

The solution to sqrt(8)cos(x+45) is sqrt(2)(sqrt(2)cos(x)-sqrt(2)sin(x))

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simplify sqrt(8)cos(x+45)

simplify

8 cos (x + 4 5^{\circ})

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

Solution steps

8 cos (x + 4 5^{\circ})

Rewrite using trig identities

= 8 \frac{2 cos ( x ) - 2 sin ( x )}{2}

Simplify

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

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

(- i) [sin ((4 i + 3) (i y + x) + 4 i + 3)]

(π + x) + cos (π - x)

7 \cdot (sin (x - \frac{2 π}{3}))

sin^{2} (x - π)

sec (2 π - x)

What is sqrt(8)cos(x+45) ?
The solution to sqrt(8)cos(x+45) is sqrt(2)(sqrt(2)cos(x)-sqrt(2)sin(x))