Question

Cos570° pleease heeelp​

Answer 1

Ответ:

- √3/2.

Пошаговое объяснение:

сos 570° = cos (360° + 180° + 30°) = cos (180° + 30°) = - cos 30° = - √3/2.

Answer 2

The cosine function is periodic, meaning it repeats its values every 360 degrees (or 2π radians). Therefore, we can find the value of cos(570°) by finding the equivalent angle within one revolution (360°).

To do that, we can subtract multiples of 360 from 570 until we obtain an angle within one revolution:

570° - 360° = 210°

So, cos(570°) is equal to cos(210°). Now we can evaluate cos(210°):

cos(210°) = cos(180° + 30°)

We know that cos(180°) = -1 and cos(30°) = √3/2, so we can use these values to find cos(210°):

cos(210°) = cos(180° + 30°) = cos(180°)cos(30°) - sin(180°)sin(30°) = (-1)(√3/2) - 0(1/2) (since sin(180°) = 0) = -√3/2

Therefore, cos(570°) is equal to -√3/2.