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Express asin(x) + bcos(x) in the form Rsin(x+c), where c is a non-zero constant.

The trick to solving this is to use the trig identity sin(a+b) = sin(a)cos(b) + sin(b)cos(a) From the identity above, we can write rewrite Rsin(x+c) as follows: Rsin(x+c)...

LH
Answered by Louis H. Maths tutor
6538 Views

Integral of a compound equation (or otherwise finding the area under a graph): f(x) = 10x*(x^(0.5) - 2)

This can be done 'by parts' or by expanding. In this case it would be easier to expand as it is possible to deal with terms individually here.
This becomes: 10xx1/2 - 10x2
...

RD
Answered by Roden D. Maths tutor
3384 Views

By forming and solving a quadratic equation, solve the equation 5*cosec(x) + cosec^2(x) = 2 - cot^2(x) in the interval 0<x<2*pi, giving the values of x in radians to three significant figures.

To solve the equation given in the question, we must first express the given equation in terms of only one trigonometric function, i.e. either all in cosec or all in cot. The easiest route would be cosec,...

NM
Answered by Nadia M. Maths tutor
8179 Views

Factorise x^2 - x - 6

You need 2 numbers that multiply together to make -6, and add together to make -1. The options to multiply to make -6 are: 6 and -1, -6 and 1, -3 and 2, 3 and -2. Looking at this list, the pair of numbers...

CG
Answered by Charlotte G. Maths tutor
4808 Views

Solve the equation 9x - 15 = 5 - x

This question is about rearranging the equation so that all the known variables are on one side and all the unknown variables are on the other side. To start with we can look at the x terms, remembering t...

ES
Answered by Ella S. Maths tutor
3574 Views

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