What is cos(arccot(x)) ?

The solution to cos(arccot(x)) is (xsqrt(1+x^2))/(1+x^2)

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simplify cos(arccot(x))

simplify

cos (arccot (x))

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

Solution steps

cos (arccot (x))

Use the following identity:

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

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

tan (\frac{π}{4} + x)

sin (\frac{3 π}{2} + x)

sin (arccos (\frac{x}{5}))

tan (9 0^{\circ} + x)

tan (arcsin (\frac{x}{4}))

What is cos(arccot(x)) ?
The solution to cos(arccot(x)) is (xsqrt(1+x^2))/(1+x^2)