What is cot(x-((5pi)/2)) ?

The solution to cot(x-((5pi)/2)) is -tan(x)

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simplify cot(x-((5pi)/2))

simplify

cot (x - (\frac{5 π}{2}))

- tan (x)

Solution steps

cot (x - (\frac{5 π}{2}))

Rewrite using trig identities

= - \frac{sin ( x )}{cos ( x )}

Rewrite using trig identities

= - tan (x)

sin (π + x) + cos (\frac{π}{2} + x)

cot (- x) cos (- x) + sin (- x)

cos (4 π + 2 π t)

arccos (1 - \frac{1 \cdot x}{4})

cos (- x) cot (- x) + csc (- x)