Explain how to find the exact value of sin(570°).

The precise value that is given by sin 570° would be:

Given that,

sin 570°

To solve,

We will employ the degree to radian conversion,

θ = θ° × π/180°

To find,

° ° × π°

Since radian π

∵

Thus, the value of sin 570° would be .

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-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.

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step-by-step explanation: