What is the value of cot(arctan(sqrt(3))) ?

The value of cot(arctan(sqrt(3))) is (sqrt(3))/3

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cot(arctan(sqrt(3)))

cot (arctan (3))

\frac{3}{3}

Decimal Notation

0.57735 \dots

Solution steps

cot (arctan (3))

Rewrite using trig identities:

cot (arctan (3)) = \frac{1}{3}

Use the following identity:

cot (arctan (x)) = \frac{1}{x}

= \frac{1}{3}

= \frac{1}{3}

Simplify

= \frac{3}{3}

arctan (\frac{15}{2})

tan^{2} (5)

arctan (\frac{30}{50})

cot (arcsin (- \frac{6}{8}))

sec (\frac{3}{2})

What is the value of cot(arctan(sqrt(3))) ?
The value of cot(arctan(sqrt(3))) is (sqrt(3))/3