en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(1830)

Solution

sin (183 0^{\circ})

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

sin (183 0^{\circ})

sin (183 0^{\circ}) = sin (3 0^{\circ})

sin (183 0^{\circ})

Rewrite

183 0^{\circ}

as

36 0^{\circ} \cdot 5 + 3 0^{\circ}

= sin (36 0^{\circ} 5 + 3 0^{\circ})

Apply the periodicity of

sin

:

sin (x + 36 0^{\circ} \cdot k) = sin (x)

sin (36 0^{\circ} \cdot 5 + 3 0^{\circ}) = sin (3 0^{\circ})

= sin (3 0^{\circ})

= sin (3 0^{\circ})

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\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{1}{2}

= \frac{1}{2}

Popular Examples

2 arctan (- 1)

sin^{2} (40 5^{\circ})

74307.552sin(4.85)

74307.552 sin (4.85)

sin^2(35)+cos^2(35)

sin^{2} (3 5^{\circ}) + cos^{2} (3 5^{\circ})

\frac{1}{2} cos^{2} (5 0^{\circ})

Frequently Asked Questions (FAQ)

What is the value of sin(1830) ?
The value of sin(1830) is 1/2