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Solve the equation cosec^2(x) = 1 + 2cot(x), for -180° < x ≤ 180°.

First, we want to convert the equation to a simpler form involving just one function of x. Squared trigonometric functions are normally good candidates for simplification, thanks to the trigonometric identit...
MH
Answered by Max H. • Maths tutor
11271 Views

Integrate cos(x)sin^2(x)

Answer: sin^3(x)/3 + c The student can either solve by inspection by noticing that the derivative of sin^3(x)=3sin^2(x)cos(x). OR The student can use the longer method of integration by parts.
MS
Answered by Milan S. • Maths tutor
9686 Views

2(x+4)=x+10

When solving equations like this, the most important thing to remember is that you must do the same thing to both sides. First multiply out the brackets, multiplying the x and the 4 by 2, giving 2x+8=x+10. W...
MH
Answered by Mimi H. • Maths tutor
3684 Views

How do I analyse unseen poetry in a timed exam?

Analysing a poem you have never seen before can be quite a daunting task and you may struggle with knowing where to begin or deciphering what the poem really means. Below is a helpful acronym you can use and...
LR
7613 Views

Solve 4(x+3)=2x+8

First explain that to 'solve' means to find the value for 'x'. Then, using the rule of BIDMAS, explain that in order to simplify the process, the first step is to open up the brackets on the left hand side o...
WZ
Answered by Wayne Z. • Maths tutor
9611 Views