Question

Найдите sin А , если cos А ＝1/2

Answer 1

Ответ:

цех ятаған пен ш ар ор аа ор ма о пен г

Answer 2

To find sin(A) given that cos(A) = 1/2, we can use the Pythagorean trigonometric identity:

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

Given that cos(A) = 1/2, we can substitute it into the identity:

sin^2(A) + (1/2)^2 = 1 sin^2(A) + 1/4 = 1

Now, let's solve for sin(A):

sin^2(A) = 1 - 1/4 sin^2(A) = 3/4

Taking the square root of both sides:

sin(A) = ±√(3/4)

Since sine is positive in the first and second quadrants, and cos(A) = 1/2 is positive (first quadrant), sin(A) must also be positive:

sin(A) = √(3/4) sin(A) = √3/2

So, sin(A) is equal to √3/2.