To solve the equation 4sin^2x - 3sinxcosx = 1/2, we can use the trigonometric identity sin(2x) = 2sinxcosx.
So, we can rewrite the equation as 4sin^2x - 3sinx(2sinxcosx) = 1/2 Simplifying further, we get 4sin^2x - 6sin^2x = 1/2 Which simplifies to -2sin^2x = 1/2 Divide by -2: sin^2x = -1/4
This equation has no real solutions because the square of a real number (like sinx) cannot be negative.
To solve the equation 4sin^2x - 3sinxcosx = 1/2, we can use the trigonometric identity sin(2x) = 2sinxcosx.
So, we can rewrite the equation as 4sin^2x - 3sinx(2sinxcosx) = 1/2
Simplifying further, we get 4sin^2x - 6sin^2x = 1/2
Which simplifies to -2sin^2x = 1/2
Divide by -2:
sin^2x = -1/4
This equation has no real solutions because the square of a real number (like sinx) cannot be negative.