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This is a quadratic equation. We can recall that this means the graph will have a parabolic shape. Next we need to do a little bit of manipulation to get our final bits of information. So we want to know ...

Firstly, your quadratic equation will be of the form ax² + bx + c where a, b and c will be numbers. Now you have to multiply a by c to get a number, say d. From this number d, you need to find ...

This is a super common question, and once you know which steps to take when, it is rather simple and just takes practise! First of all, these are the steps that you need to take: 1) Convert the mixed numb...

Consider the triangle ABC. Denote h the altitude through B and D the point where h intersects the (extended) base AC
Cosine function for triangle ADB.

cos α= x/c  =>  x=c*cos α
 

Using: Tan(x) = Sin(x)/Cos(x)

Using: Cos(x) = sqrt(1-Sin²(x))

Cos(A) = sqrt(1-Sin²(A)) = sqrt(1-1/3) = sqrt(2)/sqrt(3)

Therefore: Tan(A) = Sin(A)/Cos(A) = (1/sqr...