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How do I solve equations like 3sin^2(x) - 2cos(x) = 2

To solve equations like this we need to get the equation in terms of one trigonometric function, ie one of sin(x), cos(x) or tan(x)

It is usually easiest to get everything in terms of wha...

EB
Answered by Elliot B. Maths tutor
22566 Views

How do I expand brackets by multiplication?

It's worth remembering FOIL: First, Outside, Inside, Last.Say we have the following:(a+b)(c+d), where a,b,c and d are positive integers.Using FOIL, we have: (First) +...

LD
Answered by Liam D. Maths tutor
6953 Views

How do I prove that an irrational number is indeed irrational?

[NOTE: An irreducible fraction (or fraction in lowest terms) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1.]Given th...

LD
Answered by Liam D. Maths tutor
8528 Views

How do I rationalise the denominator of a fraction which consists of surds?

[Recall: the numerator of a fraction is the top number; the denominator refers to the bottom number. A surd is an irrational number, e.g. √3, √5, etc.]Given the following fraction:...

LD
Answered by Liam D. Maths tutor
10091 Views

Given that y = x^4 + x^(1/3) + 3, find dy/dx

We use the rule that if y = x^n then dy/dx = n*x^(n-1) which is valid whether or not n is an integer. 

We also use that differentiation is a linear operation, which means that we can diff...

KS
Answered by Karan S. Maths tutor
14837 Views

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