What is the value of cot(arccsc(-sqrt(3))) ?

The value of cot(arccsc(-sqrt(3))) is -sqrt(2)

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cot(arccsc(-sqrt(3)))

cot (arccsc (- 3))

- 2

Decimal Notation

- 1.41421 \dots

Solution steps

cot (arccsc (- 3))

Rewrite using trig identities:

cot (arccsc (- 3)) = (- 3) 1 - \frac{1}{( - 3 ) ^{2}}

Use the following identity:

cot (arccsc (x)) = x 1 - \frac{1}{x ^{2}}

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

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

Simplify

= - 2

2 \cdot tan (2 0^{\circ})

cos (\frac{1}{12} π)

cos (0) \cdot sin (0)

\frac{( 1.89 \cdot 1 0 ^{5} ) sin ( 2.5 )}{22}

cot (7 2^{\circ})

What is the value of cot(arccsc(-sqrt(3))) ?
The value of cot(arccsc(-sqrt(3))) is -sqrt(2)