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How does Euclid's algorithm give solutions to equations?

Euclid's algorithm is really useful to be able to, firstly, see if two numbers are co-prime, in other words to see if they share any common factors, but also to find solutions to equations. Say we have two i...
AR
Answered by Abby R. • Maths tutor
2165 Views

Prove that (sinx)^2 + (cosx)^2 = 1

We start with the definitions of sine and cosine, which are, respectively: sinx = opposite/hypoteneuse and cosx = adjacent/hypoteneuse. We then square the analyzed expressions to get the following: (opposite...
EA
Answered by Eno A. • Maths tutor
14643 Views

Consider the arithmetic sequence 5,7,9,11, …. Derive a formula for (i) the nth term and (ii) the sum to n terms. (iii) Hence find the sum of the first 20 terms.

We can easily identify the first term (5) The common difference can be found by subtracting the n th term from the (n+1) th term 7-5=9-7=11-9=2 Therefore: U 1 =5 and d=2 The IB formula booklet provides the g...
JN
Answered by Jan Niklas F. • Maths tutor
7773 Views

What is the most difficult topic in HL Maths?

It will mainly depend on your own interests, so there is no definite answer. In my opinion, the whole calculus section is probably the most significant part of the course as it will take up a significant par...
AC
Answered by Ambrose C. • Maths tutor
2393 Views

Three girls and four boys are seated randomly on a straight bench. What is the probability that the boys sit together and the girls sit together.

To calculate the desired probability we need to calculate the number n of arrangements of the kids such that the girls sit together and the bous sit together and then calculate the total number m of arrangem...
JW
Answered by Jakub W. • Maths tutor
12247 Views