How many true solutions does the equation sinx=cosx-1 have over the interval 0 is less than or equal to x which is less than or equal to 2(pi)?

Using the identity: , we get:



There are two solutions to this equation:

1)


Since the period of cosine is 2π, so 0 + 2π = 2π will also be a solution to the given equation

2) 


Therefore, there are 3 solutions to the given trigonometric equation.

X=y+4 is the answe