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State the trigonometric identities for sin2x, cos2x and tan2x

sin2x = 2sinxcosx cos2x = cos^2(x) - sin^2(x) tan2x = (2tanx)/(1-tan^2(x))
JS
Answered by James S. • Maths tutor
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Expand and Simplify: 2y(3x - 8) + x(2x + y)

Start by expanding the brackets. This means that you must multiply everything inside the bracket by whatever is outside the bracket. Therefore, you should be left with: 6yx - 16y + 2x^2 + xy After this, you ...
JB
Answered by Jasmine B. • Maths tutor
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Find the coordinates of the point of intersection of the lines y = 5x - 2 and x + 3y = 8.

substitute y=5x-2 into second equation --> x + 3(5x- 2)= 8// 2) factorise and simplify to get 16x=14 3) divide 14 by 16 to calculate the value of x to be 7/8 4) sub value of x into equation 1 to find the...
AT
Answered by Anand T. • Maths tutor
6354 Views

Find the volume and surface area of a cylinder, of length 20cm and radius 5cm.

A diagram is often helpful to draw for questions like this. 1.) Volume. For the volume of a cylinder, you must first find the area of the face, and multiply by the length. The formula for this is Vol= πr^2 ....
CL
Answered by Cameron L. • Maths tutor
9865 Views

Find dy/dx of the equation y=x^2 ln⁡(2x^2+1).

This question requires the use of two key rules of differentiating. The first of these is the product rule. The product rule describes a way of differentiating an equation which is the product of two differe...
CL
Answered by Cameron L. • Maths tutor
5171 Views