What is csc(arctan(x-2)) ?

The solution to csc(arctan(x-2)) is (sqrt(x^2-4x+5))/(x-2)

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simplify csc(arctan(x-2))

simplify

csc (arctan (x - 2))

\frac{x ^{2} - 4 x + 5}{x - 2}

Solution steps

csc (arctan (x - 2))

Use the following identity:

csc (arctan (x)) = \frac{1 + x ^{2}}{x}

= \frac{1 + ( x - 2 ) ^{2}}{( x - 2 )}

Simplify

= \frac{x ^{2} - 4 x + 5}{x - 2}

cos (n \cdot π)

sin (θ + \frac{π}{2})

tan (2 π - x)

cos (18 0^{\circ} + θ)

cos (x - \frac{π}{3}) - 2 cos (x)

What is csc(arctan(x-2)) ?
The solution to csc(arctan(x-2)) is (sqrt(x^2-4x+5))/(x-2)