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A curve has parametric equations x = 2 sin θ, y = cos 2θ. Find y in terms of x

y = cos2θ . 2) cos2θ = 1 - 2sin²θ. 3) x = 2sinθ. 4) x² = 4sin²θ. 5) (1/2)x² = 2sin²θ. 6) y = 1 - (1/2)x².
NB
Answered by Nick B. • Maths tutor
17413 Views

Factorise 2*x^2 - 4*x - 6

The question asks us to factorise the quadratic 2 x^2 - 4 x - 6. All quadratics are of the form a x^2 + b x + c, so we have a = 2, b = -4, c = 6. I would advise approaching it using the product and sum appro...
CT
Answered by Chris T. • Maths tutor
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Have you taught before?

I have experience teaching in my own country about the subject.
RA
Answered by Rusab A. • Maths tutor
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What grade did you achieve?

I achieved an A in O level Mathematics.
RA
Answered by Rusab A. • Maths tutor
4008 Views

Using the quadratic equation, solve 3x^2+2x-15 to two decimal places.

The quadratic equation is x=(-b+-SQRT(b^2-4ac))/2a. In this instance, a = 3, b = 2, and c = 15. Simply putting the numbers in place of the letter counterpart, gives an answer of 1.93 and -2.59 to two decimal...
CF
Answered by Callum F. • Maths tutor
6246 Views