What is the value of sin(arccot(sqrt(3))) ?

The value of sin(arccot(sqrt(3))) is 1/2

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sin(arccot(sqrt(3)))

sin (arccot (3))

\frac{1}{2}

Decimal Notation

0.5

Solution steps

sin (arccot (3))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{1}{2}

\frac{1}{2} arctan (\frac{3}{2})

\frac{6}{sin ( \frac{π}{5} )}

\frac{100}{sin ( 6 0 ^{\circ} )}

12 cos (1 8^{\circ})

10 cos (\frac{5 π}{6})

What is the value of sin(arccot(sqrt(3))) ?
The value of sin(arccot(sqrt(3))) is 1/2