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I did a question the other day which expected me to know what cos(30) is without a calculator. How do I work it out?

There are certain angles that you can use shapes and trigonometry to work out what their cosine, sine and tangent angles are. These angles are 30, 45 and 60 degrees and there are 2 very simple but importa...

Answered by Philip H. Maths tutor
7535 Views

How do I express complicated logs as single logarithms?

The process of transforming a complicated log to a single logarithm depends on the question. However, there are some basic rules and methods that are commonly involved.

Here is an example:

<...

Answered by Keeley L. Maths tutor
9758 Views

is x + x equal to x^2 ?

No. Think of an x as a tangible object, for instance an apple. If you have an apple plus another apple, you have 2 apples. Therefore if you have an x you have 1x. 1x plus another 1x is 2x, not x^2. 

Answered by Rosalie C. Maths tutor
2529 Views

How can you remember what sin(x) and cos(x) differentiate or integrate to?

Calculus processes concering sin(x) and cos(x) can be imagined like turning a wheel (insert diagram here, would show in tutorial). Turning the wheel clockwise is the process of differentiating, turning th...

Answered by Sam T. Maths tutor
3806 Views

The polynomial p(x) is, p(x)= x3-5x2-8x+48.Use the Factor Theorem to show that (x + 3)is a factor of p(X)

First of all it is using the factor theorem. 

so need to use that to show it is a factor 

We do this by P of (-3) should = 0 

So substitute x with -3 

 p(-3)= (-3)3 - 5 (-3)2- ...

Answered by Mehr-Un-Nisa B. Maths tutor
4906 Views

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