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...
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...
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...
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?
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...