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3tan(k)-1=sec^2(k) () We want to get this in the form of a quadratic equation in a single variable, and in this case the easiest variable is tan(k). To do this we use the trigonometric identity sec^2(...
Use the identity cos^2(x)+sin^2(x)=1, to change the 5sin^(x) into 5-5cos^2(x) and rearrange. Let y=sin(x) and solve the rearranged quadratic (6y^2-3y-3) for y and find the value of x for each solution. y=...
The objective of this question is to find the solution, what is x equal to? The first thing to do is try to get all x terms on one side of the equation and all non x terms on the other. Here we have posit...
Given: £30 pounds per week 20% = 0.2 = 1/5 - spending on leisure
To find: a) Residue amount (Ra) b) How many weeks does Michael need to save (Tw)
Solution: a) To the find residue amount we m...
The first step is to write x=0.0755... For this question the number that is recurring here is the 555…so what we want is to get two equations with the same recurring part after the decimal point. By multi...
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