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Popular >

sin(1800)

Solution

sin (180 0^{\circ})

Solution

0

Solution steps

sin (180 0^{\circ})

sin (180 0^{\circ}) = sin (0)

sin (180 0^{\circ})

Rewrite

180 0^{\circ}

as

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

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

Apply the periodicity of

sin

:

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

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

= sin (0)

= sin (0)

Use the following trivial identity:

sin (0) = 0

sin (0)

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}

= 0

= 0

Popular Examples

pisin(pi)+cos(pi)

π sin (π) + cos (π)

sin(150)+cos(240)-tan(315)

sin (15 0^{\circ}) + cos (24 0^{\circ}) - tan (31 5^{\circ})

arctan((7.9253)/(22.356-12.184-7.061))

arctan (\frac{7.9253}{22.356 - 12.184 - 7.061})

arccos(775/2500)

arccos (\frac{775}{2500})

cos(-pi/4)+sin(-pi/4)

cos (- \frac{π}{4}) + sin (- \frac{π}{4})

Frequently Asked Questions (FAQ)

What is the value of sin(1800) ?
The value of sin(1800) is 0