We can solve this equation by finding the values of x that satisfy the equation.
First, let's simplify the equation:
sin(x/2 - π/8)*(tan(x) - 1) = 0sin(x/2 - π/8) = 0 or tan(x) - 1 = 0
Now, let's solve each part separately:
sin(x/2 - π/8) = 0x/2 - π/8 = nπ, where n is an integerx/2 = nπ + π/8x = 2nπ + π/4
tan(x) - 1 = 0tan(x) = 1x = π/4
Therefore, the solutions to the equation are x = 2nπ + π/4 and x = π/4, where n is an integer.
We can solve this equation by finding the values of x that satisfy the equation.
First, let's simplify the equation:
sin(x/2 - π/8)*(tan(x) - 1) = 0
sin(x/2 - π/8) = 0 or tan(x) - 1 = 0
Now, let's solve each part separately:
sin(x/2 - π/8) = 0
x/2 - π/8 = nπ, where n is an integer
x/2 = nπ + π/8
x = 2nπ + π/4
tan(x) - 1 = 0
tan(x) = 1
x = π/4
Therefore, the solutions to the equation are x = 2nπ + π/4 and x = π/4, where n is an integer.