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Using the trigonometric(trig) ratios of cosine, sine and tangent we can work out side lengths and angles.

Within a right angle triangle of we are given a side lenght and a angle other tha...

To solve these simultaneous equations, you must add/subtract both equatons from each other to eliminate one variable, allowing you to work out the value of the other.

As you can see from ...

To find the derivative, you look at each term and multiply the constant in front of the x by the power of x. Also you must lower the power of x by one after this step. 

So 5x³ ...

Firstly, you can see from the equation that each bracket must contain an x since these multiply together to give the x^2. So you get (x..)(x..)

Next, to obtain the last number o...

8^(x-1) = 6^3x

2^3(x-1) = (2 * 3)^3x

2^3x * 2^-3 = 2^3x * 3^3x        / : 2^3x