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In my experience the sure fire way to prove trig identities is by doing the following: 1) Assess the question e.g. is it obvious you're going to need a double angle or addition formula, can you see where cos...

Prerequisite for addition formula: https://www.youtube.com/watch?v=iHZmi2MHqWc Proof of formula for sin(A+B): https://www.youtube.com/watch?v=BEETggUVMrY Proof of formula for cos(A+B): https://www.youtube.co...

There are a few different types of integration, the most common being Riemann integration . Riemann integration allows you to find the area under the graph of a function between two points. Its definition us...

There are two ways you can take the derivative of a^x. 1) Let y = a^x now we're trying to find dy/dx 2) ln(y) = xln(a) take logs of both sides and use log rules 3) (dy/dx)*(1/y) = ln(a) take the derivative o...

To find the gradient of a straight line we can use the change in the X and Y directions. The gradient (Slope) of a straight line is defined as : ​Grad = (Change in Y) / (Change in X) This is the basis of a v...