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Prove that sec^2(θ) + cosec^2(θ) = sec^2(θ) * cosec^2(θ)

These problems can be tricky as they use unfamiliar trigonometric functions such as secant and cosecant. It is much easier to approach these problems by replacing these trigonometric functions with more f...

Answered by Hugh R. • Maths tutor

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A cuboid has sides such that the longest side is two units more than the shortest side, and the middle length side is one unit longer than the shortest side. The total surface area of the cuboid is 52 units². What is the length of the shortest side?

A cuboid has sides such that the longest side is two units more than the shortest side, and the middle length side is one unit longer than the shortest side. The total surface area of the cuboid is 52 uni...

Answered by Roseanna M. • Maths tutor

5838 Views

find dy/dx at t, where t=2, x=t^3+t and y=t^2+1

We know from simple fraction rules that dy/dx=(dy/dt)/(dx/dt). dy/dt=2t, dx/dt=3t^2+1. Therefore, dy/dx=2x2/12+1=4/13

Answered by Niamh O. • Maths tutor

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A curve has equation x^2 + 2xy – 3y^2 + 16 = 0. Find the coordinates of the points on the curve where dy/dx =0

We would do this by differentiating everything individually so to differentiate x²we multiply the x²by the power which is 2 and then take the power down by 1 to make 2x. To differe...

Answered by Tom K. • Maths tutor

4370 Views

What is a stratified sample?

Stratified sampling is a technique used in some instances to generate a 'fairer' sample than standard random sampling. Wherein a population is divided into subgroups called 'strata'. These strata are usua...

Answered by Lewis S. • Maths tutor

4878 Views