What is sin(arccot(3x)) ?

The solution to sin(arccot(3x)) is (sqrt(1+9x^2))/(1+9x^2)

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simplify sin(arccot(3x))

simplify

sin (arccot (3 x))

\frac{1 + 9 x ^{2}}{1 + 9 x ^{2}}

Solution steps

sin (arccot (3 x))

Use the following identity:

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

= \frac{1 + ( 3 x ) ^{2}}{1 + ( 3 x ) ^{2}}

Simplify

= \frac{1 + 9 x ^{2}}{1 + 9 x ^{2}}

- sin^{2} (18 0^{\circ} + x)

cos (arctan (\frac{4}{3}) + p in)

f (x) = sec (2) tan (x)

2 tan (x + \frac{π}{2})

cos (\frac{3 π}{2} + a)

What is sin(arccot(3x)) ?
The solution to sin(arccot(3x)) is (sqrt(1+9x^2))/(1+9x^2)