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Popular >

(cos^2(pi))/3

Solution

\frac{cos ^{2} ( π )}{3}

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

\frac{cos ^{2} ( π )}{3}

Use the following trivial identity:

cos (π) = (- 1)

cos (π)

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= (- 1)

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

Simplify

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

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

(- 1)^{2} = 1

(- 1)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 1)^{2} = 1^{2}

= 1^{2}

Apply rule

1^{a} = 1

= 1

= \frac{1}{3}

= \frac{1}{3}

Popular Examples

2cos(3)((2pi)/3)

2 cos (3) (\frac{2 π}{3})

3 sec^{4} (0)

3.25cos(pi/6*9)+19.15

3.25 cos (\frac{π}{6} \cdot 9) + 19.15

\frac{5}{sin ( 6 5 ^{\circ} )}

arctan (\frac{- 6}{5})

Frequently Asked Questions (FAQ)

What is the value of (cos^2(pi))/3 ?
The value of (cos^2(pi))/3 is 1/3