Can anybody help me on the waves functions question, It's Q6 a) and b) on paper 2. I tried checking the Mark scheme but it didn't make any sense to me.
a) It's simply the normal way of the wave funtion. Compare with double angle, work out quadrants, square and add, divide. b) Have you done intergration of trig between limits yet?
a) It's simply the normal way of the wave funtion. Compare with double angle, work out quadrants, square and add, divide. b) Have you done intergration of trig between limits yet?
I'm pretty sure I can do the 1st part. I go:
Root(34) Sin(x+301) for the 1st equation. 301 is the answer in degrees, and 5.3 is something is that answer in radians, but 301 is easier to use to work through in b)
But I'm not sure how to do b). The only thing left to do in the course is the end of Logarithms and Exponentials but I'm still not sure what to do.
The formula sheet tells you how to integrate trig functions as I remember, have a look there first and try integrating it. You'll need to use the result from the first part after that.
Basically integrate, then substitute your answer for part a) into it. Then basically substitue t and 0 and as the whole thing equals 3, work through it like any trig equation.
Basically integrate, then substitute your answer for part a) into it. Then basically substitue t and 0 and as the whole thing equals 3, work through it like any trig equation.
Also how would I go about differentiating and integrating:
sin(2x+2)^5
We have done ones like: sin(2x+2) or (2x+2), but what happens if you have both a power for the bracket and a trig function in front of the bracket?
Here's my solution to the question. I sat the higher paper last year so...
Spoiler
I hope that makes some sense. I wrote that like 10/11 months ago so I don't remember the question well. If you have an questions about the solution then ask and I'll try and answer them =)
Whenever there is a bracket do you always differentiate it, or do you only do it if there is a power? OR can you drop the power of 1 from a bracket to 0 to get rid of the bracket?
Here's my solution to the question. I sat the higher paper last year so...
Spoiler
I hope that makes some sense. I wrote that like 10/11 months ago so I don't remember the question well. If you have an questions about the solution then ask and I'll try and answer them =)
I would have done it differenty and subsituted the wave equation in a few lines later, but I'm curious how you do the wave equation minus the other wave euations after you substituted in t and 0.
I would have done it differenty and subsituted the wave equation in a few lines later, but I'm curious how you do the wave equation minus the other wave euations after you substituted in t and 0.
You mean this line?
34sin(t+5.25...)−34sin(0+5.25...)=3
Well 34sin(0+5.25...)=−5 (if you use the exact value from part a). Then since it's −34sin(0+5.25...) it will become positive 5 and so on.
Whenever there is a bracket do you always differentiate it, or do you only do it if there is a power? OR can you drop the power of 1 from a bracket to 0 to get rid of the bracket?
Like I said, doubt you'd need to do it for higher, but it would be:
And I don't really understand the last question... but technically you could put a bracket around anything and then it would be to the power of 0, but remember that that equals 1 and then you need to multiply by the derivative of the bit in the brackets so you would get the same answer anyway?