en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1cos(pi/4)

Solution

1 cos (\frac{π}{4})

Solution

\frac{2}{2}

+1

Decimal Notation

0.70710 \dots

Solution steps

1 \cdot cos (\frac{π}{4})

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

cos (\frac{π}{4})

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}

= \frac{2}{2}

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

Simplify

= \frac{2}{2}

Popular Examples

sin(arccos(6/10)-arccos(3/7))

sin (arccos (\frac{6}{10}) - arccos (\frac{3}{7}))

\frac{28}{sin ( 6 0 ^{\circ} )}

arcsec (0.5)

arcsec (- \frac{5}{4})

5 cos (2 5^{\circ})

Frequently Asked Questions (FAQ)

What is the value of 1cos(pi/4) ?
The value of 1cos(pi/4) is (sqrt(2))/2