What is the value of arccot(cot(-pi/4)) ?

The value of arccot(cot(-pi/4)) is (3pi)/4

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arccot(cot(-pi/4))

arccot (cot (- \frac{π}{4}))

\frac{3 π}{4}

Decimal Notation

135

Solution steps

arccot (cot (- \frac{π}{4}))

Use the inverse trig property:

\frac{3 π}{4}

arccot (cot (- \frac{π}{4}))

For

0 < x < π, a rcco t (co t (x)) = x

Rewrite using trig identities:

cot (- \frac{π}{4}) = cot (\frac{3 π}{4})

cot (- \frac{π}{4})

cot (x + π \cdot k) = cot (x)

= cot (- \frac{π}{4} + 1 π)

= cot (\frac{3 π}{4})

= arccot (cot (\frac{3 π}{4}))

0 < \frac{3 π}{4} < π

= \frac{3 π}{4}

= \frac{3 π}{4}

arctan (1.49)

arctan (1.66)

sin (1) - \frac{1}{2}

arcsin (0.185)

arctan (\frac{- 4 3}{4})

What is the value of arccot(cot(-pi/4)) ?
The value of arccot(cot(-pi/4)) is (3pi)/4