What is the general solution for sin(60)=(x/(81)) ?

The general solution for sin(60)=(x/(81)) is x=(81sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(60)=(x/(81))

sin (6 0^{\circ}) = (\frac{x}{81})

x = \frac{81 3}{2}

Decimal Notation

x = 70.14805 \dots

Solution steps

sin (6 0^{\circ}) = (\frac{x}{81})

Switch sides

(\frac{x}{81}) = sin (6 0^{\circ})

Simplify

sin (6 0^{\circ}) : \frac{3}{2}

sin (6 0^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

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{3}{2}

\frac{x}{81} = \frac{3}{2}

Multiply both sides by

81

\frac{x}{81} = \frac{3}{2}

Multiply both sides by

81

\frac{81 x}{81} = \frac{81 3}{2}

Simplify

x = \frac{81 3}{2}

x = \frac{81 3}{2}

d = 7.2 sec (\cdot sin (3 0^{\circ} - 2 0^{\circ}))

\frac{a}{sin ( 4 4 ^{\circ} )} = \frac{9}{sin ( 6 6 ^{\circ} )}

c, sec (4 5^{\circ} + \frac{a}{2}) sec (4 5^{\circ} - \frac{a}{2}) = 2 sec (a)

cos^{2} (x) = 1 + cos^{2} (x)

c, sin^{3} (x) + sin (x) cos (x) + cos^{3} (x) = 1

What is the general solution for sin(60)=(x/(81)) ?
The general solution for sin(60)=(x/(81)) is x=(81sqrt(3))/2