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For the first one, let f(x)=Hi everyone,
Can someone please show me how to do these two questions? Don't really know where to start :s
View attachment 30366
View attachment 30367
Thanks in advance!
Care to elaborate on your own proof? What are you saying is equal to cos(x+75)?basic steps
move everything to one side so it equals zero
the trig functions can be combined using the auxiliary method (i got cos(x+75)) [there are other answers]
plot the graph and hence true for all x > 0
EDIT: didn't realise that there were 2 questions but the solution is below. IMO, sy123's solution is very long for the first bit; but still valid
oops my bad. i forgot to multiply the cos x with x auxiliary method cannot be used. my solution is invalidCare to elaborate on your own proof? What are you saying is equal to cos(x+75)?
Perhaps I am missing something basic, but I do not see how this can be done by a simple rearrangement and graph.
maple?Well I knew what the graph looks like, my solution was similar to Sy's, and you need to do something like that to come up with the graph.