# Tutor profile: Alex W.

## Questions

### Subject: Trigonometry

Prove that tan x + cot x = sec x csc x

Let's start working with the right hand side of the equation. tan x + cot x = sin x / cos x + cos x / sin x = sin^2 x + cos^2 x / sin x cos x = 1 / cos x sin x = 1/ cos x * 1/ sin x = sec x csc x Thus, we have proved this identity.

### Subject: Economics

What is scarcity in Economics.

Scarcity is the basic fundamental problem in Economics. It is when there is unlimited wants and limited resources to satisfy the unlimited wants. An example of scarcity is land needed to construct a firm.

### Subject: Algebra

5x-2=4/11x+0.1

First, group the x terms on one side of the equation. 5x-4/11x=0.1+2 Secondly, do the sum and subtraction on both sides of the equation. 51/11x=2.1 Lastly, make x as the subject of the formula. x=(2.1)(11)/(51) = 0.4529 (four decimal places)

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