To solve this equation, we can begin by using the trigonometric identity sin(π/2 - x) = cos(x).
Given equation: 3sin²(x/2) + sin(x/2) cos(x/2) = 2
Now, substituting sin(π/2 - x) = cos(x), we get:
3sin²(x/2) + sin(x/2) sin(π/2 - x/2) = 23sin²(x/2) + sin(x/2) cos(x/2) = 2
This equation matches the given equation, so the solution for x is satisfied by any value of x that satisfies the equation.
To solve this equation, we can begin by using the trigonometric identity sin(π/2 - x) = cos(x).
Given equation: 3sin²(x/2) + sin(x/2) cos(x/2) = 2
Now, substituting sin(π/2 - x) = cos(x), we get:
3sin²(x/2) + sin(x/2) sin(π/2 - x/2) = 2
3sin²(x/2) + sin(x/2) cos(x/2) = 2
This equation matches the given equation, so the solution for x is satisfied by any value of x that satisfies the equation.