# Search results

1. ### Simple derivative problem

Here is the equation and my attempt on a dry-erase board: My steps are similar to the textbook's up until I hit that 3x^1/2. Why is it disappearing with their method? It's late at night and my brain is fried; I have a feeling this will be painfully obvious to me in the morning, but in case it...
2. ### Problem involving Power-Reducing Formula

Homework Statement Homework Equations How in the world did they get their solution? Where did 27/8 come from? The Attempt at a Solution I did the arithmetic with the fractions inside before distributing the 9, and ended up getting something like -9/4 cos2x + 9/4 cos4x. Completely...
3. ### Trig: Writing the equation for vertical asymptote of a secant function?

Worked on another problem set up similarly and I think I got it! I noticed that simply taking the 'B' (like in the y=Asin[B(x-C)]+D formula), turning it into the reciprocal (1/B), and thennnn multiplying it by \prod/2 + k\prod gets me the right asymptote. This *does* relate to inverse trig...
4. ### Trig: Writing the equation for vertical asymptote of a secant function?

I noticed multiplying the vertical asymptote formula/equation by 1/pi cancels out the pi, resulting in that 1/2+k... but where did they get 1/pi from? Does that have any relation to secant being 1/cos?
5. ### Trig: Writing the equation for vertical asymptote of a secant function?

Homework Statement Homework Equations How did they come up with \frac{1}{2}+k for the equation of the vertical asymptote? I understand everything else except this. The Attempt at a Solution On this particular exercise, I graphed it and saw that each of my vertical dashed lines were all one...