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Firstly we need to rearrange this equation so that it contains only one trigonometric function of x (i.e. tanx, cosx or sinx) which will make it much easier to solve.

We can do this in th...

Expand (1+0.5x)4 , simplifying the coefficients. Step 1. Draw Pascal's triangle to find the coefficients       1 ;  1  2  1 ; 1  3  3  1 ; 1  4  6   4  1. As you can see, each row starts ...

To solve Inx + In3 = In6 we must follow some basic log rules, log_b(mn) = log_b(m) + log_b(n)if we compare this with the...

This question tests a variety of mathematical techniques and knowledge which is integral to A-level mathematics.

Note that the highest power of a variable function in the mentioned equatio...

Let y = tan(x)

Recall the definition of tan(x) as sin(x)/cos(x)

Therefore y = sin(x)/cos(x)

Use the quotient rule, which states that for y = f(x)/g(x), dy/dx =...