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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...

The "chain rule" is a handy little tool that we can use to find the derivative of a complicated function.  Specifically, we use the chain rule when we have functions within functions.  But what ...