en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

18sin(45)

Solution

18 sin (4 5^{\circ})

Solution

92

+1

Decimal Notation

12.72792 \dots

Solution steps

18 sin (4 5^{\circ})

Use the following trivial identity:

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

sin (4 5^{\circ})

sin (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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{2}{2}

= 18 \cdot \frac{2}{2}

Simplify

18 \cdot \frac{2}{2} : 92

18 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 18}{2}

Divide the numbers:

\frac{18}{2} = 9

= 92

= 92

Popular Examples

15 sin (7 0^{\circ})

5sec(30)tan(60)

5 sec (3 0^{\circ}) tan (6 0^{\circ})

cot(arcsin(5/6))

cot (arcsin (\frac{5}{6}))

2 cos (2 (0))

sin(arccos(-2/7))

sin (arccos (- \frac{2}{7}))

Frequently Asked Questions (FAQ)

What is the value of 18sin(45) ?
The value of 18sin(45) is 9sqrt(2)