Answer:
-1/2
Step-by-step explanation:
Start by subtracting 360° from 570°, obtaining 210°. These two angles share the same terminal side, located in Quadrant III, and thus share their trig function values.
Similarly, subtract 180° from 210°, obtaining 30°. In Quadrant III, the opposite side is -1, the adjacent side is -√3/2 and the hypotenuse is 2.
The sine of 570° is thus opp/hyp, or -1/2.
The precise value that is given by sin 570° would be:
[tex]-\frac{1}{2}[/tex]
Given that,
sin 570°
To solve,
We will employ the degree to radian conversion,
θ = θ° × π/180°
To find,
[tex]570[/tex]° [tex]= 570[/tex]° × π[tex]/180[/tex]°
Since radian [tex]= 19[/tex]π[tex]/6[/tex]
∵ [tex]sin 570 = sin(9.9483)[/tex]
[tex]=[/tex] [tex]-\frac{1}{2}[/tex]
Thus, the value of sin 570° would be [tex]-\frac{1}{2}[/tex].
Learn more about "Sin θ" here:
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