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How do I find the missing length using trigonometry?

First of all, label the sides in the right-angled triangle. Then, write out SOHCAHTOA, using three small triangles. Next, tick off the letters of the sides that either have a number, or the letter x, written...
PL
Answered by Patrick L. • Maths tutor
4140 Views

Given the functions f(x) = (x + 2)/9 and g(x) = x^3 + 6, find fg(x).

Firstly, fg ( x ) could be written as f[g ( x )], or in other words, the function f acts on the result of x going through the function g (Bear in mind that I'm using the square brackets only because it's eas...
JJ
Answered by Josh J. • Maths tutor
5452 Views

What is proof and how does it work?

'Proving' something mathematically means showing that it is true for all possible cases. Therefore it isn't sufficient to simply give a lot of examples of a formula or test working; you need to find a way to...
CB
Answered by Cameron B. • Maths tutor
4573 Views

ABD is a triangle, C lies on BD. AD=BD=√2/2 and CD=√3/3. Find the EXACT area of ABC. (all measurements are in cm)

Formula/ Facts you may need for this question: !!! area of a triangle = base * height * 0.5 !!! multiplying fractions = nominators multiplied over denominators multiplied Step 1: whole triangle area ABD = √2...
HO
Answered by Holly O. • Maths tutor
9194 Views

Solve 2x+y=6, 3x+2y=3 for x and y.

Give each equation a label:(1) 2x+y=6(2) 3x+2y=3Multiply one equation to make the number of x's or y's the same in each equation. 2 X (1) : 2(2x+y=6) 4x+2y=12 (2) 3x+2y=3There are now 2y's in each equation t...
EW
Answered by Emily W. • Maths tutor
4340 Views