What is cos((npi)/2-pi/2) ?

The solution to cos((npi)/2-pi/2) is sin((pin)/2)

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simplify cos((npi)/2-pi/2)

simplify

cos (\frac{nπ}{2} - \frac{π}{2})

sin (\frac{πn}{2})

Solution steps

cos (\frac{nπ}{2} - \frac{π}{2})

Rewrite using trig identities

= sin (\frac{πn}{2})

sin (- sin (x))

sin (θ^{1} + θ^{2})

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

sin (θ + θ + θ)

cos (- n \cdot π) + cos (n \cdot π)