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a) Substituting the coordinate (1,1) into the left hand side of the equation for C we obtain: (13) + 3*1 - 4(13)(13) = 1 + 3 - 4 = 0 = The right hand side of the equation,...
tan(x)/sec2(x) Sec(x) = 1/cos(x), therefore 1/sec(x) = cos(x). also tan(x) = sin(x)/cos(x).using substitution, tan(x)/sec2(x) = (sin(x)/cos(x)) * cos2(x) = sin(x)cos(x). s...
This is a classic GCSE Pythagoras' Theorem question.
The first thing we are going to do is draw a diagram. Once we sketch out a diagram, we can see that the ladder makes a triangle shape with the ...
Over 2000 Pythagoras discovered that when a triangle has a right angle (90 degrees), and squares are made for each of the three sides, then the biggest square has the exact same area as the two other squa...
The simple rule of thumb applied to differentiation can be used in this example - 'Multiply each term by its power then reduce the power by one'. Doing this 5x^2 becomes 25x^(2-1)=10x. Repeating for 1...
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