# Solve the equation #cos^2x-sin^2x=sinx+1# in the interval #(0<=x<=2pi)#?

##### 2 Answers

#### Explanation:

As

we have

or

or

i.e. either

or

and with in period

#### Explanation:

Here we the above equation to get two new equations (I'm assuming you know how to solve quadratic equations):

OR

Here, we cannot go straight to saying

So,

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