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Prove the identity: sin^2(x)+cos^2(x) = 1

This is one of the most commonly used A level identities which can be proved using only GCSE maths!

Firstly, take an arbitrary right angle triangle with Hypotenuse h, and angle x between ...

SO
Answered by Sean O. Maths tutor
4591 Views

Differentiate the function f(x) = x*sin(x)

This function is the product of the two functions 'x' and 'sin(x)'. Therefore we use the product rule, which says that the differential of a product of two functions is the differential of the first mu...

DB
Answered by Dylan B. Maths tutor
5762 Views

How do I find the intersection of a line and a curve?

Say you are given the equations of both a line and a curve, for example y=x2+8x-1 and y=3x-7, and asked to find where these two intersect. This just means w...

LM
Answered by Lauren M. Maths tutor
137452 Views

When and how do I use integration by parts?

Integration by parts is used when you would like to find the integral of a composite function made up of two functions of the same variable as which you're integrating with respect to. 

T...

CY
Answered by Craig Y. Maths tutor
5261 Views

Solve the simultaneous equations 2x + 3y = 4, 3x + 6y = 3

Label the equations (1): 2x + 3y = 4 (2): 3x + 6y = 3We need the same number of x's or y's in the equations, so multiply (1) by 3 and (2) by 2 giving (3): 6x + 9y = 12 (4): 6x + 12y = 6Subtract (3) from (...

SS
Answered by Sophie S. Maths tutor
9942 Views

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