What is sqrt(8)cos(x+pi/4) ?

The solution to sqrt(8)cos(x+pi/4) is sqrt(2)(sqrt(2)cos(x)-sqrt(2)sin(x))

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simplify sqrt(8)cos(x+pi/4)

simplify

8 cos (x + \frac{π}{4})

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

Solution steps

8 cos (x + \frac{π}{4})

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))

sin (\frac{3 π}{2} - x)

cos (9 0^{\circ} - θ)

cos (arcsin (\frac{1}{x}))

cos (arcsin (\frac{3}{x}))

sec (- x)

What is sqrt(8)cos(x+pi/4) ?
The solution to sqrt(8)cos(x+pi/4) is sqrt(2)(sqrt(2)cos(x)-sqrt(2)sin(x))