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How do we know which formulas we need to learn for the exam?

When learning new content, I know it is really intimidating seeing how many new formulas and equations are needed to answer questions, however I also know how easy it is to get on top of it all! My main p...

Answered by • Maths tutor

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Using your knowledge that tan(x) = sin(x) / cos(x) , how would you write 4/7tan(x)

Since tanx = sinx / cosx that means that the inverse of tan must = the inverse of sinx / cosx which is cosx / sinx . So we know that 1/tanx = cosx . Now all we have to do is apply the multiple 4/7 becaus...

Answered by • Maths tutor

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A is the point with coordinates (5, 9) B is the point with coordinates (d, 15) The gradient of the line AB is 3 Work out the value of d.

A straight line equation is defined as y=mx+c where m is the gradient and c is the intercept. Since the gradient is already said to be 3 we can substitute this in to mean the equation for AB is y=3x+c. Si...

Answered by Tarun A. • Maths tutor

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Find all solutions of the equation in the interval [0, 2π]. 5 cos^3 x = 5 cos x

5cos³x = 5cosxFirstly -5cosx from both sides and divide through by 5We have:cos³x-cosx = 0We can factorise this:cosx(cos²x - 1) = 0 For this to be true either:cosx = 0 or ...

Answered by Georgiana C. • Maths tutor

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