Question

Найдите cos(x), если sin(x) = 3\5 и 0 < x < 90∘

Answer 1

Вот,надеюсь все поймёте:)

Answer 2

To find the value of cos(x), we can use the Pythagorean identity for trigonometric functions:

sin^2(x) + cos^2(x) = 1

Given that sin(x) = 3/5, we can substitute this value into the equation:

(3/5)^2 + cos^2(x) = 1 9/25 + cos^2(x) = 1

Now, solve for cos^2(x):

cos^2(x) = 1 - 9/25 cos^2(x) = 16/25

To get the value of cos(x), take the square root of both sides (since 0 < x < 90 degrees, cos(x) is positive):

cos(x) = sqrt(16/25) cos(x) = 4/5

So, the value of cos(x) is 4/5.