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Mathematics
Zackary Jennings
29 August, 23:49
Sin400°=
1. sin40°
2. - sin40°
3. sin (-40) °
+5
Answers (
1
)
Mclean
30 August, 02:19
0
sin (40°)
Step-by-step explanation:
Trigonometric functions such as sine, cosine, tangent whose short forms are sin, cos, tan respectively are repetitive functions which repeat itself after every integral multiple of 2π radian or 360°. It means if you add or subtract 360° from any input of trigonometric function the output of the function won't change.
It means sin (θ) = sin (θ - n*360°) = sin (θ + n*360°)
similarly cos (θ) = cos (θ - n*360°) = cos (θ + n*360°)
and tan (θ) = tan (θ - n*360°) = tan (θ + n*360°)
where n is an integer.
So, by this sin (400°) = sin (400° - 360°) = sin (40°)
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