I came across a few questions which i found a little confusing.
A graph question which asked me to sketch the graphs
2-|x+1| and 5-|x-1|
and the asked me for the range
I was confident that i had this right however the answer ended up with
f(x)>2
f(x)>5
whereas i had
f(x)≥2
f(x)≥5
I'm still not sure why the answer is right
Trigonometry questions
solving sin(x) -cos(x) = 0
i first had done sin(x) +(sin^2 x -1)^(1/2) = 0
however is this a correct approach to solving this sort of problem?
(just wanted to know if there was any different standard procedures)
proving that if A+B+C = 180
then
(tanA+tanB+tanC)/(tanAtanBtanC) = 1
While i see that this works I'm not sure what you can do to prove it how do you go about proving it?
Lastly a simple question that i can't seem to find information on in the book,maybe I'm interpreting the method wrongly..
question:
a) Express 3cos x - 4sin x in the form of R cos(x + a) i knew how to do this
b) Find the greatest possible value of 2/(3cos x -4 sin x +6)
My question with b is, what is the method you actually use to solve these sort of questions (greatest and minimum values), i can't see how b is related to part a other than the equation.
Any help is very much appreciated