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

The solution to csc(arctan(2*x)) is (sqrt(1+4x^2))/(2x)

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simplify csc(arctan(2*x))

simplify

csc (arctan (2 \cdot x))

\frac{1 + 4 x ^{2}}{2 x}

Solution steps

csc (arctan (2 x))

Use the following identity:

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

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

1 + (2 x)^{2} = 1 + 4 x^{2}

= \frac{1 + 4 x ^{2}}{2 x}

sin (n) π - sin (- nπ)

tan (x - 9053 π)

\frac{- ln ( cos ( 2 x ) + 1 )}{2}

sin ((\frac{3 π}{2}) - x)

sin (x) sin (- y)

What is csc(arctan(2*x)) ?
The solution to csc(arctan(2*x)) is (sqrt(1+4x^2))/(2x)