What is the value of -cot(-30) ?

The value of -cot(-30) is square root of 3

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-cot(-30)

- cot (- 3 0^{\circ})

3

Decimal Notation

1.73205 \dots

Solution steps

- cot (- 3 0^{\circ})

Rewrite using trig identities:

cot (- 3 0^{\circ}) = - 3

cot (- 3 0^{\circ})

Use the following property:

cot (- x) = - cot (x)

cot (- 3 0^{\circ}) = - cot (3 0^{\circ})

= - cot (3 0^{\circ})

Use the following trivial identity:

cot (3 0^{\circ}) = 3

cot (3 0^{\circ})

cot (x)

periodicity table with

18 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

= 3

= - 3

= - (- 3)

Simplify

= 3

tan (1.47)

\frac{14}{tan ( 6 4 ^{\circ} )}

cos^{2} (- π) + cos (π)

cos (- 0.6095)

arcsin (117.91633)