Here is my Blog post assignment!:)
(Used paint and Geogebra)
Graph and validation
For this chapter, witting all the identities all on a sheet of paper and keeping this paper with me when I do my work will help tremendously which I have already done. Keeping my things neat, clear and in order is what should be done in this chapter the most since there are a lot of information that will take a while to remember.
The Identities are:
1. Quotient Identities
Tan x= Sin x / Cos x
Cot x= Cos x / Sin x
2. Reciprocal identities
Sec x = 1/ Cos x
Csc x = 1/ Sin x
Cot= 1/Tan x
3. The 3 pythagorean identities
Sin ^2 x + Cos ^2 x = 1
Tan ^2 x + 1 = Sec^2 x
1 + Cot^2 x = Csc ^2 x
4. Squared Trig notation
(Sin x) ^2 = Sin ^2 x
(Tan x) ^2 = Tan^2 = (Sin x/Cos x)^2 = Sin^2 x/ Cos ^2 x
(Cos x) ^2 = Cox^2
Cot^2 x = 1/tan^2 = Cos ^2 x / Sin ^2 x
Sec ^2 x = (1/Cos x)^2 = 1 / Cos ^2 x
Csc^2 x = (1/Sin x)^2= 1/Sin^2 x
As most of the time, when learning new things, we tend to find them difficult and confusing, such as the chapter we are leaning currently. But we we learn more things about it, it gets easier and easier.
To make it more simple, I try to memorize the ratios by heart and make sense of them. I write them out, put colors and study it, this helps me since I am a visual person and helps me to comprehend what I am studying.
Last class make everything more clear to me with the practice and the team work that took place and I know I will know all these “Equivalent Trip Things” like the back of my hand soon enough! 🙂
I know about the 3 other trig ratios but but my teachers told me that I would learn them later in life, and here I am now learning about them! 😀
I don’t find them difficult, its just learning something new that is almost the same as Sin, cos and tan, I just need a little bit of memorizing such as the :
Cosencant as CSC or COSEC,
Secant as SEC
Cotangent as COT
and also the reciprocal of each trig ratios.