Question

Найдите значение sina если cosa =√3/2,0

Answer 1

Решение на фото......

Answer 2

To find the value of sin(a) given that cos(a) = √3/2, we can use the Pythagorean trigonometric identity, which states:

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

Since we know cos(a) = √3/2, we can substitute it into the identity:

sin^2(a) + (√3/2)^2 = 1 sin^2(a) + 3/4 = 1

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

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

To find sin(a), take the square root of both sides:

sin(a) = ± √(1/4)

However, we have to be careful with the sign of sin(a) because the value of cos(a) tells us that a is in the first or second quadrant, where the sine function is positive.

Since cos(a) = √3/2 is positive, sin(a) must also be positive.

Therefore, the value of sin(a) is:

sin(a) = √(1/4) = 1/2

So, sin(a) = 1/2.