en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

600cos(45)

Solution

600 cos (4 5^{\circ})

Solution

3002

+1

Decimal Notation

424.26406 \dots

Solution steps

600 cos (4 5^{\circ})

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

cos (4 5^{\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{2}{2}

= 600 \cdot \frac{2}{2}

Simplify

600 \cdot \frac{2}{2} : 3002

600 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 600}{2}

Divide the numbers:

\frac{600}{2} = 300

= 3002

= 3002

Popular Examples

2sin(112.5)cos(112.5)

2 sin (112. 5^{\circ}) cos (112. 5^{\circ})

tan((7pi)/6+pi/4)

tan (\frac{7 π}{6} + \frac{π}{4})

arcsin((6.1)/(9.9))

arcsin (\frac{6.1}{9.9})

25 cos (7 5^{\circ})

cos(arcsin(3/5)-arccos(1/2))

cos (arcsin (\frac{3}{5}) - arccos (\frac{1}{2}))

Frequently Asked Questions (FAQ)

What is the value of 600cos(45) ?
The value of 600cos(45) is 300sqrt(2)