What is the value of (sin(30))/(1.33) ?

The value of (sin(30))/(1.33) is 50/133

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(sin(30))/(1.33)

\frac{sin ( 3 0 ^{\circ} )}{1.33}

\frac{50}{133}

Decimal Notation

0.37593 \dots

Solution steps

\frac{sin ( 3 0 ^{\circ} )}{1.33}

= \frac{sin ( 3 0 ^{\circ} )}{\frac{133}{100}}

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{\frac{1}{2}}{\frac{133}{100}}

Simplify

\frac{\frac{1}{2}}{\frac{133}{100}} : \frac{50}{133}

\frac{\frac{1}{2}}{\frac{133}{100}}

Divide fractions:

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

= \frac{1 \cdot 100}{2 \cdot 133}

Refine

= \frac{100}{2 \cdot 133}

Multiply the numbers:

2 \cdot 133 = 266

= \frac{100}{266}

Cancel the common factor:

2

= \frac{50}{133}

= \frac{50}{133}

cos (arctan (\frac{- 2}{3}))

2 sin (2) - 1

sin (12. 7^{\circ})

sinh (((2 \cdot 2.47832) - 4) - 0.7 \cdot 2.47832)

cos (11 4^{\circ})