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

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

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simplify cos(x+pi/2)-cos(x)

simplify

cos (x + \frac{π}{2}) - cos (x)

- sin (x) - cos (x)

Solution steps

cos (x + \frac{π}{2}) - cos (x)

Rewrite using trig identities

= - sin (x) - cos (x)

sin (- x^{3})

sin (π - 2 arcsin (\frac{1}{x}))

sin (\frac{arccos ( - x )}{2} + πn)

sin (θ + 9 0^{\circ}) sin (0)

1 + cos (27 0^{\circ} + x)

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