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tanx = 4cotx + 3  - Multiply through by tan to form a quadratic. tan^2x = 4 + 3tanx - Simplify by allowing y to equal tanx. y^2 = 4 + 3y - Rearange to standard quadratic form. y^2 - 3y -4 = 0 - Factorise....

When dealing with with mixed fraction operations, the first step is always to change the mixed fraction into a top heavy fraction. Then consider weather the question is a multiplication, divsion, addition...

We can solve this pair of simultaneous equations using substitution. To do this, we firstly have to rearrange one equation to get one variable on its own. For example, we can subtract 2y from each side of...

First we follow the "times by the power and take one from the power" rule. This is the easiest way to remember how to differentiate anything. 

So (3x4)x^(4-1) -(2x2)x^(2-1)<...

If m=a^x n=a^y and a² =(m^y n^x)^z Show xyz=1.        

    The above question is an indices question from an AS textbook. This is questi...