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Can you prove to me why cos^2(X) + sin^2(X) = 1?

The answer to this lies in the geometry of a circle. At GCSE you were taught that a circle has a radius (which I will call R ) which is the distance from the centre to a point on the circle. We put the centr...
JM
Answered by Jack M. • Maths tutor
4331 Views

A) Raf, Jasmin and Carlos swim lengths of the pool for charity. Raf swims 30 more lengths than Jasmin. Jasmin swims four times as many lengths as Carlos. Altogether they swim 372 lengths. How many lengths each person swim?

NB: Algebra question. As Carlos swims the lowest amount of lengths compared to Raf and Freya, and the information from the question follows from the total amount Carlos has swam, we use the symbol 'S' to den...
FW
Answered by Fergus W. • Maths tutor
3166 Views

Express 216 as a product of its prime factors.

Answer: 2 3 x 3 3 Start by breaking 216 down into easily managed factors, for example the easiest would probably be 2 and 108. From there you can break down the non-prime factors into smaller factors. For 10...
HM
Answered by Hidayah M. • Maths tutor
13460 Views

a) If x=4, work out 3(x^2). b) Solve 6x-3=x+11

a) Our first step is to replace 3(x^2) with 3(4^2) as x=4. Remembering BIDMAS (Brackets, Indices, Division, Multiplication, Addition, Subtraction), we know we must first work out the value of 4 squared, and ...
DH
Answered by Dina H. • Maths tutor
5204 Views

Express 56 as the product of its prime factors.

56 = 2 x 2 x 2 x 7.Prime numbers are the basic building blocks of all numbers. They can't be divided by any number apart from 1, or themseslves.
IR
Answered by Isiah R. • Maths tutor
37188 Views