Question

Вычислите sina, если cos a=-24/25 , P

Answer 1

cos a=-24/25

sin a = √1- cos^a= √1-576/625= √49/625=7/25

Answer 2

To find the value of sin(a) given cos(a) = -24/25, we can use the Pythagorean identity, which relates sine and cosine of an angle:

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

Substitute the value of cos(a):

sin^2(a) + (-24/25)^2 = 1

sin^2(a) + 576/625 = 1

Now, isolate sin^2(a):

sin^2(a) = 1 - 576/625

sin^2(a) = (625 - 576)/625

sin^2(a) = 49/625

Now, take the square root of both sides:

sin(a) = ±√(49/625)

Since sine is positive in the first and second quadrants, we take the positive square root:

sin(a) = √(49/625)

Next, simplify the square root:

sin(a) = 7/25

So, the value of sin(a) is 7/25.