en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

50*cos(45)

Solution

50 \cdot cos (4 5^{\circ})

Solution

252

+1

Decimal Notation

35.35533 \dots

Solution steps

50 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}

= 50 \cdot \frac{2}{2}

Simplify

50 \cdot \frac{2}{2} : 252

50 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 50}{2}

Divide the numbers:

\frac{50}{2} = 25

= 252

= 252

Popular Examples

sin(30)cos(45)+cos(30)sin(45)

sin (3 0^{\circ}) cos (4 5^{\circ}) + cos (3 0^{\circ}) sin (4 5^{\circ})

cos (13 4^{\circ})

- cos (0) - sin (0)

cos(arcsin(3/5)-arctan(5/12))

cos (arcsin (\frac{3}{5}) - arctan (\frac{5}{12}))

2(cos((3pi)/4)+isin((3pi)/4))

2 (cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4}))

Frequently Asked Questions (FAQ)

What is the value of 50*cos(45) ?
The value of 50*cos(45) is 25sqrt(2)