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Popular >

cos^3(60)

Solution

cos^{3} (6 0^{\circ})

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

cos^{3} (6 0^{\circ})

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

cos (6 0^{\circ})

cos (x)

periodicity table with

36 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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{1}{2}

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

Simplify

(\frac{1}{2})^{3} : \frac{1}{8}

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

Apply exponent rule:

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

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

Apply rule

1^{a} = 1

1^{3} = 1

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

2^{3} = 8

= \frac{1}{8}

= \frac{1}{8}

Popular Examples

ln (2 + tan (0))

sec (7 1^{\circ})

e^{2 s i n (0.01)}

\frac{6}{tan ( 7 0 ^{\circ} )}

cos(2arctan(3))

cos (2 arctan (3))

Frequently Asked Questions (FAQ)

What is the value of cos^3(60) ?
The value of cos^3(60) is 1/8