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

The solution to cos(pi/2 x+pinx) is cos(pinx+(pix)/2)

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simplify cos(pi/2 x+pinx)

simplify

cos (\frac{π}{2} x + πn x)

cos (πn x + \frac{π x}{2})

Solution steps

cos (\frac{π}{2} x + πn x)

Rewrite using trig identities

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

Use the Angle Sum identity:

cos (s) cos (t) - sin (s) sin (t) = cos (s + t)

= cos (πn x + \frac{π x}{2})

2 sin (x - π)

4 cos (60 π t - \frac{π}{4})

a sin (- \frac{1}{2})

tan (4 5^{\circ} + \frac{θ}{2})

sin (- π^{2} a)

What is cos(pi/2 x+pinx) ?
The solution to cos(pi/2 x+pinx) is cos(pinx+(pix)/2)