Question #65c6d
1 Answer
Just like you normally would, just remember that trigonometric equations can have an infinite amount of solutions.
Explanation:
Critical points of trig functions really aren't that special. You just find the derivative and set it equal to
The only slightly tricky bit comes when you have to figure out when the functions equal to
Let's take
There are two solutions for this that might spring to mind,
This means our critical points are
You can also simplify this to just
Inverse trigonometric functions
You can work out the critical points to the inverse trig functions just like regular too, but you'll find that none of them have any critical points.
You'll notice that all of the derivatives of the inverse trig functions only have stuff relating to
Let's look at
This above equation has no solutions, because the numerator would have to equal