How many degrees separate (cos and sin) maximum value?
So far, I know the maximum values are = 1 but don't know the degree of the maximum value...maybe I am thinking too hard. Please help.
Presumably you know that sin(x)= 1 for $\displaystyle x= \pi/2$ and that sine has period $\displaystyle 2\pi$. So $\displaystyle sin(\frac{\pi}{2}+ 2k\pi)= 1$ for any integer k. Similarly, sin(x)= -1 for $\displaystyle x= 3\pi/2$ so $\displaystyle sin(\frac{3\pi}{2}+ 2k\pi)= -1$ for any integer k.
I am assuming that you have graphed the two functions as required. I am GUESSING that the answers are to be given in radians.
Question a(iii) is one of those questions that are so absurdly easy that they confuse you. You say, "They must be asking something deeper than that."
$Let\ \theta_1\ be\ the\ value\ of\ \theta\ where\ cos(\theta )\ is\ maximum.\ So\ \theta_1 = what.$
$Let\ \theta_2\ be\ the\ value\ of\ \theta\ where\ sin(\theta )\ is\ maximum.\ So\ \theta_2 = what.$
The question is merely asking $\theta_2 - \theta_1 = what?$
The final question makes sense only if the overall question requires answers in radians. Otherwise the answer to what is the value of 50 degrees is 50 degrees.