1. The vertical asymptote requires the denominator have a zero at that location. The x-intercept requires the numerator have a zero at that location. The horizontal asymptote amounts to a multiplier of the function:
... y = 2(x +5)/(x -3)
2. The vertical asymptote requires the denominator have a zero at that location. The oblique asymptote is an add-on
... y = 1/(x +1) +(x +2)
... y = (x² +3x +3)/(x +1)
Imagine a trigonometric circle with radius equal to 1.
We can say that the opposite side of the angle generated by the origin is equal to sen Ф and the adjacent equal to cos Ф
With this we can say that:
h² = c² + c²
If r = 1, then h = 1
1² = cos² + sen²
1 = cos² Ф + sen² Ф
You can use this equation a lot of times because it's the fundamental trigonometric relation
, so, when you something like:
sen Ф = cos Ф + 1
you can take from sen² Ф + cos² Ф = 1 that and then resolve.