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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
16710 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
58118 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
3798 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
4878 Views

How are Xerophytes adapted to dry environments?

Start by considering what Xerophytes are, they are plants that live in dry conditions. What are the problems with dry conditions? Well, the big problem is maintaining a constant amount of water in the body. ...
LC
Answered by Luke C. • Biology tutor
32582 Views