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How do you form a Cartesian equation from two parametric equations?

If the two parametric equations have the form x = at + b and y = ct + d then the first step is to rearrange one to make the parameter 't' the subject. We then substitute this equation for 't' int...

Answered by Alexander L. • Maths tutor

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The curve C has the equation (x^2)+4xy-8(y^2)+27=0. Find dy/dx in terms of x and y.

dy/dx= (x+2y)/(8y-2x)

Answered by Emily O. • Maths tutor

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Answered by Rosie A. • Maths tutor

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Solve: (6x + 4)/(2x - 2) + 6 = 8

(6x + 4)/(2x - 2) + 6 = 8 (subtract 6 from both sides) (6x + 4)/(2x - 2) = 2 (multiply both sides by (2x - 2)) 6x + 4 = 2(2x - 2) 6x + 4 = 4x - 4 (add 4 to both sides) 6x + 8 = 4x (subtract 4x from both s...

Answered by Emma F. • Maths tutor

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Why do we have to use radians instead of degrees?

Radians are used a lot in A level maths because at higher levels, they allow for simplification of trigonometric functions. For example, when using radians, it can be said that:

Sin(angle) ≈ angle ...

Answered by Jamie S. • Maths tutor

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