What is the value of cot(-150) ?

The value of cot(-150) is square root of 3

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cot(-150)

cot (- 15 0^{\circ})

3

Decimal Notation

1.73205 \dots

Solution steps

cot (- 15 0^{\circ})

Use the following property:

cot (- x) = - cot (x)

cot (- 15 0^{\circ}) = - cot (15 0^{\circ})

= - cot (15 0^{\circ})

Use the following trivial identity:

cot (15 0^{\circ}) = - 3

cot (15 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)

Simplify

= 3

arccos (0.57)

arccos (0.98)

sin (\frac{6 π}{5})

sin (- \frac{3}{2})

arctan (sin (\frac{π}{2}))