Question

Sin a= -√3 деленный на 2 чему равен cos a

Answer 1

Решение задания приложено

Answer 2

Cosa = 1/Sina = -2/√3

Answer 3

To find the value of cos(a), we can use the identity:

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

Given that sin(a) = -√3/2, we can substitute this value into the identity:

cos^2(a) + (-√3/2)^2 = 1

Simplifying:

cos^2(a) + 3/4 = 1

Now, isolate cos^2(a) by subtracting 3/4 from both sides:

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

cos^2(a) = 1/4

Finally, take the square root of both sides to find the value of cos(a):

cos(a) = ±√(1/4)

Since cos(a) can be positive or negative, we have two possible solutions:

1. cos(a) = √(1/4) = 1/2
2. cos(a) = -√(1/4) = -1/2

So, cos(a) is either 1/2 or -1/2, depending on the quadrant in which the angle 'a' lies.