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Express cos(2x) in terms of acos^2(x) + b

cos(2x)=cos2(x) - sin2(x)use sin2(x) = 1 - cos2(x)so cos(2x)=cos2(x) - (1 - cos2(x))cos(2x)=2cos2(x) - 1so a = 2 and b = -1

Answered by Maths tutor
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Given that f(x) = x^2 (3x - 1)^(1/2) find f'(x)

This is an example of a question using the product rulelet u = x2 and v = (3x - 1)1/2then u' = 2x and v' = 3 X 1/2 (3x - 1)-1/2 using the product rule we get f'(x) = x

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How do I know when to use sine, cos or tan when working with right angled triangles?

Plot the graph for y = 4x - 3

Create a table for x and y x,1,2,3y,1,5,9Draw the line on a graph

CS
Answered by Conor S. Maths tutor
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