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})

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

\frac{cos ( 2 x )}{( cos ( x ) + sin ( x ) )} = cos (x) - sin (x)

tan (- \frac{3 π}{4})

cos (- \frac{π}{6})

sec (x) = 2, 0 \leq x \leq 2 π

sin (x) = - \frac{2}{2}