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Popular >

cot^2(30)

Solution

cot^{2} (3 0^{\circ})

Solution

3

Solution steps

cot^{2} (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)^{2}

Simplify

(3)^{2} : 3

(3)^{2}

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 3^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

\frac{1}{2} \cdot 2

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2}{2}

Cancel the common factor:

2

= 1

= 3

= 3

Popular Examples

arctan (\frac{- 1}{0})

(100)/(sin(30))

\frac{100}{sin ( 3 0 ^{\circ} )}

\frac{5}{cos ( 4 5 ^{\circ} )}

csc(arccos(7/25))

csc (arccos (\frac{7}{25}))

arcsin (\frac{6}{15})

Frequently Asked Questions (FAQ)

What is the value of cot^2(30) ?
The value of cot^2(30) is 3