Question

Найдите ctgα, если sinα=0,6.

Answer 1

Ответ:

Решение прикреплено .

~•~•~•ZLOY_TIGROVSKIY~•~•~•

Answer 2

To find the value of cotangent (ctgα) when the sine of α (sinα) is 0.6, we can use the following trigonometric identity:

cotα = 1 / tanα

Since we know that sinα = 0.6, we can find the value of cosα using the Pythagorean trigonometric identity:

sin^2α + cos^2α = 1

Substitute sinα = 0.6:

(0.6)^2 + cos^2α = 1 0.36 + cos^2α = 1 cos^2α = 1 - 0.36 cos^2α = 0.64

Now, take the square root of both sides to find cosα:

cosα = √0.64 cosα = ±0.8

Keep in mind that sine is positive in both the first and second quadrants. Since sinα = 0.6 is positive, we can conclude that α is in the first quadrant. In the first quadrant, cosine is positive.

So, cosα = 0.8.

Now, we can find cotα:

cotα = 1 / tanα

Since tanα = sinα / cosα:

cotα = 1 / (sinα / cosα) cotα = cosα / sinα cotα = 0.8 / 0.6 cotα = 4/3

Therefore, cotα is 4/3.