en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

16*cos(45)

Solution

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

Solution

82

+1

Decimal Notation

11.31370 \dots

Solution steps

16 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}

= 16 \cdot \frac{2}{2}

Simplify

16 \cdot \frac{2}{2} : 82

16 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 16}{2}

Divide the numbers:

\frac{16}{2} = 8

= 82

= 82

Popular Examples

(9.8sin(83.5))/(12.3)

\frac{9.8 sin ( 83. 5 ^{\circ} )}{12.3}

(340*sin(15))/(sin(60))

\frac{340 \cdot sin ( 1 5 ^{\circ} )}{sin ( 6 0 ^{\circ} )}

4 arctan (- 1)

cos (2) - cos (1)

(tan(120)+tan(45))/(1-tan(120)tan(45))

\frac{tan ( 12 0 ^{\circ} ) + tan ( 4 5 ^{\circ} )}{1 - tan ( 12 0 ^{\circ} ) tan ( 4 5 ^{\circ} )}

Frequently Asked Questions (FAQ)

What is the value of 16*cos(45) ?
The value of 16*cos(45) is 8sqrt(2)