Question

Cos30°,cos45°,ctg30°,ctg60°???​

Answer 1

Кор(3)/2
кор(2)/2
кор(3)/3
кор(3)

Answer 2

cos30° = √3/2 cos45° = √2/2 ctg30° = 1/√3 ctg60° = √3

To find these values, we can use the unit circle or trigonometric identities.

For cos30°, we can use the unit circle. The cosine of an angle is equal to the x-coordinate of the point on the unit circle corresponding to that angle. For 30°, the x-coordinate is √3/2.

For cos45°, we can also use the unit circle. The x-coordinate and y-coordinate of a point on the unit circle corresponding to 45° are equal. Since the coordinates are equal, we have cos45° = √2/2.

For ctg30°, we can use the identity cot(x) = 1/tan(x). Since tan(x) = sin(x)/cos(x), we have cot(x) = cos(x)/sin(x). Therefore, ctg30° = cos30°/sin30°. Since sin30° = 1/2, we have ctg30° = (√3/2)/(1/2) = √3/1 = √3.

For ctg60°, we can use the same identity. Therefore, ctg60° = cos60°/sin60°. Since sin60° = √3/2, we have ctg60° = (1/2)/(√3/2) = 1/√3.

So, cos30° = √3/2, cos45° = √2/2, ctg30° = 1/√3, and ctg60° = √3.