# Maximum....HELP

• May 10th 2014, 05:43 AM
yeatch
Maximum....HELP
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.
• May 10th 2014, 05:45 AM
yeatch
Re: Maximum....HELP
Also, For what values of θ do the maximum and minimum occur ?
• May 10th 2014, 05:51 AM
Plato
Re: Maximum....HELP
Quote:

Originally Posted by yeatch
How many degrees separate (cos and sin) maximum value?

This is a poorly worded question,
The $\cos(x)$ has its max for $x=0$ for one place.

The $\sin(x)$ has its max for $x=\pi/2$ for one place.
• May 10th 2014, 05:56 AM
yeatch
Re: Maximum....HELP
this is what the question states

[ATTACH=CONFIG]30872
• May 10th 2014, 05:56 AM
yeatch
Re: Maximum....HELP
its question a)
• May 10th 2014, 05:59 AM
yeatch
Re: Maximum....HELP
• May 10th 2014, 06:01 AM
HallsofIvy
Re: Maximum....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.
• May 10th 2014, 06:08 AM
yeatch
Re: Maximum....HELP
So how do I find out separate each maximum value ( above the pic is attach of the question)
• May 10th 2014, 08:31 PM
JeffM
Re: Maximum....HELP
Quote:

Originally Posted by yeatch
So how do I find out separate each maximum value ( above the pic is attach of the question)

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.