Answered

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

Verified Answer :

altavistard

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:

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


Given that,

sin 570°

To solve,

We will employ the degree to radian conversion,

θ = θ° × π/180°

To find,

\(570\)° \(= 570\)° × π\(/180\)°

Since radian \(= 19\)π\(/6\)

∵ \(sin 570 = sin(9.9483)\)

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


Thus, the value of sin 570° would be \(-\frac{1}{2}\).

Learn more about "Sin θ" here:

brainly.com/question/1870057

Related Questions