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sin2x = 2sinxcosx cos2x = cos^2(x) - sin^2(x) tan2x = (2tanx)/(1-tan^2(x))

Start by expanding the brackets. This means that you must multiply everything inside the bracket by whatever is outside the bracket. Therefore, you should be left with: 6yx - 16y + 2x^2 + xy After this, ...

1. substitute y=5x-2 into second equation --> x + 3(5x- 2)= 8// 2) factorise and simplify to get 16x=14 3) divide 14 by 16 to calculate the value of x to be 7/8 4) sub value of x into equation 1 to...

A diagram is often helpful to draw for questions like this. 1.) Volume. For the volume of a cylinder, you must first find the area of the face, and multiply by the length. The formula for this is Vol= πr^...

This question requires the use of two key rules of differentiating. The first of these is the product rule. The product rule describes a way of differentiating an equation which is the product of two diff...