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Popular >

sin(870)

Solution

sin (87 0^{\circ})

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

sin (87 0^{\circ})

sin (87 0^{\circ}) = sin (15 0^{\circ})

sin (87 0^{\circ})

Rewrite

87 0^{\circ}

as

36 0^{\circ} \cdot 2 + 15 0^{\circ}

= sin (36 0^{\circ} 2 + 15 0^{\circ})

Apply the periodicity of

sin

:

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

sin (36 0^{\circ} \cdot 2 + 15 0^{\circ}) = sin (15 0^{\circ})

= sin (15 0^{\circ})

= sin (15 0^{\circ})

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

sin (15 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

arctan((-3.4)/(3.6))

arctan (\frac{- 3.4}{3.6})

arctan(((sqrt(2))/2)/((sqrt(2))/2))

arctan (\frac{\frac{2}{2}}{\frac{2}{2}})

\frac{17}{tan ( 3 0 ^{\circ} )}

1000 \cdot sin (6 0^{\circ})

cos((-1)/(sqrt(2)))

cos (\frac{- 1}{2})

Frequently Asked Questions (FAQ)

What is the value of sin(870) ?
The value of sin(870) is 1/2