3.The weather in a given country can be modelled approximately by the curve π¦ = 5πππ π₯2 + 25.

x is the number of the month (e.g. March is 3) and y is the average monthly temperature.

(a) Using transformations of graphs, explain why πππ₯cosπ₯2= β12sinπ₯2

(b) Using calculus, determine which month is the hottest.

(c) During which months is the temperature increasing?

In addition to showing your own thinking and giving us context, as our guidelines advise, please

**proofread** what you submit. There are several issues here.

First, I think your title should refer to

**trig** functions, not

**trip** functions.

Second, I would initially guess that "

π¦ = 5πππ π₯2 + 25" is supposed to be "

π¦ = 5πππ π₯[SUP]2[/SUP] + 25", and "

πππ₯cosπ₯2 = β12sinπ₯2" should be "

π/ππ₯ (cosπ₯[SUP]2[/SUP]) = β12sinπ₯[SUP]2[/SUP]".

But -- that isn't true! So my guess has to be wrong. Maybe it was really "

π¦ = 5πππ (π₯/2) + 25" and "

π/ππ₯(cos(π₯/2)) = β12sin(π₯/2)". But that isn't right, either.

Finally, you haven't stated whether the formula assumes the cosine takes degrees, radians, or something else. That is important contextual information.

Please make sure that you copied the problem

**exactly**. What you appear to have done is to paste from some electronic source for which copying loses part of the formatting. By not even checking what you pasted in, you have shown that you have put in no effort at all, which is not a good way to start when you ask for help.