Solve the equation #cos^2x-sin^2x=sinx+1# in the interval #(0<=x<=2pi)#?
and with in period
Here we the above equation to get two new equations (I'm assuming you know how to solve quadratic equations):
Here, we cannot go straight to saying
Putting these two sets of answers together:
However this is assuming that the domain the question asked for is inclusive of
If it is exclusive of these, the solutions to this equation will be:
Solving this is just like solving an algebraic equation once you get everything in terms of