Question

Cos(35Пи/6) сколько это ? и как это находиться

Answer 1

Пи это 180 градусов значит 35пи это 35*180 будет 6300 это надо делить на 6 получается 1050 а в свою очередь 1050 это два полных оборота то есть 360+360+330=1050 360 отбрасываем получается 330 а косинус 330 это 360-330=30 значит косинус 30 это=корень из 3 делить на 2

Answer 2

**Cos(35π/6)** is equal to **√3/2**. To find the value of **Cos(35π/6)**, we can use the unit circle or a calculator. The unit circle is a circle with a radius of 1, centered at the origin of a coordinate plane. The angle is measured in radians, with 2π radians being equivalent to a full circle. In this case, we have an angle of 35π/6. To find the cosine of this angle, we can locate the point on the unit circle that corresponds to this angle. The x-coordinate of that point will give us the value of the cosine of the angle. To convert 35π/6 to degrees, we can use the fact that 2π radians is equal to 360 degrees. Therefore, we can calculate: 35π/6 * (180/π) = 35 * 30 = 1050 degrees. Since the cosine function is periodic with a period of 360 degrees, we can subtract multiples of 360 degrees from 1050 degrees to find an equivalent angle within one period. In this case, we can subtract 3 * 360 degrees to get: 1050 degrees - 3 * 360 degrees = 1050 degrees - 1080 degrees = -30 degrees. Now, we can locate the point on the unit circle that corresponds to -30 degrees. The x-coordinate of that point will give us the value of the cosine of -30 degrees. On the unit circle, -30 degrees is in the fourth quadrant. In the fourth quadrant, the x-coordinate is positive, and the y-coordinate is negative. Therefore, the point on the unit circle that corresponds to -30 degrees is (√3/2, -1/2). Since we are interested in the cosine value, we can take the x-coordinate, which is √3/2. Therefore, **Cos(35π/6) = √3/2**.