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Show that 2sin(2x)-3cos(2x)-3sin(x)+3=sin(x)(4cos(x)+6sin(x)-3)

When proving trigonometric identites, we must show that the left hand side of the equation = the right hand side. Here we will start with the left hand side (LHS) and show that it is equivalent to the right ...
JB
Answered by Joe B. • Maths tutor
16854 Views

Find the nth term of the sequence 7,11,15,19...

The nth term is a formula that allows us to find the value of a term in a sequence given its position in the sequence, whether this is the second term (n=2) or the millionth (n=1000000). In the above sequenc...
JB
Answered by Joe B. • Maths tutor
58474 Views

How to differentiate 2x^5-4x^3+x^2 with respect to x

Rule of differentiating is to times down by the power and then reduce it by one. Firstly we will handle the 2x ​5 ​: (2*5)x 5-1 =10x ​4 If we do this with the rest of the terms we get: 10x 4 -12x ​2 +2x
JP
Answered by Jodie P. • Maths tutor
3896 Views

Solve simultaneous equations 3x+2y=9 5x-2y=7

Here we need to get rid of either the x or the y to find one solution to start us off. By adding these equations together we get: 3x+5x+2y-2y=9+7 The y's are eliminated to leave 8x=16. So x is 2! We can then...
JP
Answered by Jodie P. • Maths tutor
5020 Views

What are the coordinates of the two turning points of the curve y = x^3+3x^2+3?

To find the turning points we need to find dy/dx and set it equal to zero. From there we can find the x coordinate and substitute it back into the origional equation to find the y coordinate. First we differ...
LD
Answered by Lauren D. • Maths tutor
10014 Views