What is cos(4pix+pi/4) ?

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

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simplify cos(4pix+pi/4)

simplify

cos (4 π x + \frac{π}{4})

\frac{2 cos ( 4 π x ) - 2 sin ( 4 π x )}{2}

Solution steps

cos (4 π x + \frac{π}{4})

Rewrite using trig identities

= \frac{2 cos ( 4 π x ) - 2 sin ( 4 π x )}{2}

- cos (3 x - 4 5^{\circ})

y sin (- cos (x - y))

tan (18 0^{\circ} - α)

cos (x) csc (9 0^{\circ} - x)

\frac{e ^{t} y}{1 + tan ^{2} ( y )}

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