Good luck with all your revision over the weekend - let me know if there's anything I can do to help. Remember you've all got my email address, or leave comments on the blog and I'll help.
You've got all the past papers for the modules with answers so use them! Work your way through the checklist and check on mymaths if you're not sure.
From today's lesson, all you need is that the trig functions/graphs can be found using the unit circle, remember that x = r cos a and y = r sin a, where x,y are the co-ordinates, r is the radius, and a is the angle. Draw out the circles to help.
Good luck with the revision, and I'll see you all on Monday morning - remember those calculators!
Cancelling algebraic fractions -
ReplyDeletelook for common factors in every term then you can divide by it.
e.g. in the fraction 6x^2 + 30x^3 all over 42x
6 goes into every term and there's an x in every term.
So the fraction cancels to x + 5x^2 all over 7
Try this one:
5x^2 + 30 x^4 all over 25x
What does it simplify to?
An example about rearranging equations:
ReplyDeleteRearranging this expression to get x = ....
y = 2x
------
x+1
Need to get all the x's on one side of the equation.
Step 1) get rid of the x's on the bottom of the fraction, by multiplying both sides of the equation by x+1
(x+1) * y = 2x the /(x+1) has been cancelled out by * (x+1) on the RHS of the equation.
Step 2) Multiply out the brackets:
x*y + 1*y = 2x
Step 3) Get everything involving an x onto one side of the equation, I'm going to choose the LHS.
x*y + y - 2x = 0
Step 4) Get everything not involving an x onto the other side of the equation:
x*y - 2x = - y
Step 5) Factorise to get only one x in the equation (you can check this by multiplying back out)
x(y - 2) = - y
Step 6) Divide both sides of the equation by (y-2)
x = - y / (y-2)