en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(cos^2(pi))/2

Solution

\frac{cos ^{2} ( π )}{2}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

\frac{cos ^{2} ( π )}{2}

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}}{2}

Simplify

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

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

(- 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}{2}

= \frac{1}{2}

Popular Examples

1 - sin (3 3^{\circ})

cos(arctan(1/5))

cos (arctan (\frac{1}{5}))

67 sin (3 5^{\circ})

sin (\frac{π}{45})

arcsin (78792)

Frequently Asked Questions (FAQ)

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