Is there a general approach for solving functions that contain both trig. and algebraic terms? And to be more specific, how does it apply for a problem like this:
In problems with trig. functions, I'm able to determine that for , is equal to because it corresponds to an isosceles triangle on the unit circle with equal sides of lengths and , but it wasn't a direct proof.
Any thoughts?
Okay. This actually stems from a calculus problem, but I figured I would need to solve it to determine critical points. The reason why I felt that a solution or solutions may exist was because I could imagine that for , the two functions would intersect when drawn on a graph.
QUESTION:
Does have any local maximum or minimum values? Give reasons for your answer.
EDIT: Actually, I forgot to take the derivative and then solve the equation. But my question still stands. Also, let me know if I should delete this post, and repost on Calculus.