Question

Найти значение sin α, если известно, что cos α =- 0,6 и α принадлежит II четверти.

Answer 1

Hi mister,

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Answer 2

Finding the value of sin α when cos α = -0.6 and α belongs to the second quadrant

To find the value of sin α when cos α = -0.6 and α belongs to the second quadrant, we can use the Pythagorean identity for trigonometric functions.

The Pythagorean identity states that for any angle α in a right triangle, the square of the sine of α plus the square of the cosine of α is equal to 1.

Using this identity, we can find the value of sin α as follows:

1. Since cos α = -0.6, we can square both sides to get cos^2 α = 0.36.

2. Now, we can subtract cos^2 α from 1 to find sin^2 α: 1 - 0.36 = 0.64.

3. Taking the square root of both sides, we find sin α = ±0.8.

Since α belongs to the second quadrant, where sin α is positive, the value of sin α is 0.8.

Please note that the value of sin α can also be expressed as -0.8, but since α belongs to the second quadrant, we take the positive value.