i have been trying to understand the graphs and what they mean
i see that some area on the wave have 90 degrees angle despite it not being the little box that indicates right triangles and then suddenly it turns to 270 while in similar graphs that same place would be 180 despite the wave size being the same
anyone have the ability to simplify this?
tangent seems even more complicated what does the twisted line have to do with it being a division of sine and cosine
Does it surprise you that sine has a different graph from cosine? They are different functions, after all... There are identities and . Thus, . The graph of is the graph of moved to the right. Therefore, the graph of sin(x) is obtained from that of cos(x) by moving the latter to the right, and the graph of cos(x) is that of sin(x) moved to the left.
This is what you get when you calculate the coordinates of the point on the graph according to the formula for tangent. In particular, tan(0) = 0 because sin(0) = 0, but when x approaches from the left, cos(x) approaches 0 and sin(x) approaches 1, so sin(x) / cos(x) grows indefinitely.
Have you read any textbook or other source, such as Wikipedia, about trigonometric functions? Perhaps you can ask specific questions that you get in the process.