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How do I differentiate the trigonometric functions sin(x) and cos(x) ?

As can be seen by studying the gradients of sin(x) at key points such as 0, 90, 180, 270, 360 degrees, the gradient of sin(x) at any point, x, is equal to cos(x). [This would be shown on sketches of the func...
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Answered by Theodore Y. • Maths tutor
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f(x) = (x+1)^2 and g(x) = 2(x-1); Show that gf(x) =2x(x+2)

In this question, we are being asked to combine the functions f(x) and g(x). The function gf(x) is 'putting in' the function f(x) into g(x). What we do is substitute whatever f(x) is into the g function like...
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Answered by Meera S. • Maths tutor
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What is rationalising a fraction?

So firstly, when we do a rationalisation problem, we are trying to get rid of any surds in the denominator(the bottom part of a fraction). Surds are numbers that have been square rooted and do not equal a wh...
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Answered by Aditi R. • Maths tutor
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A right-angle triangle has sides AB, BC and CA with the right -angle between sides BC and CA. The angle between AB and BC is 24 degrees. The length of AB is 12m. How long is side BC?

Firstly we draw the triangle. From here we can see that the hypotenuse is side AB and the angle we know is between this side and the side we are trying to find the length of. This is when we can use either o...
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Answered by Katherine D. • Maths tutor
3560 Views

Write 7/8 as a decimal

In a non-calculator paper use long division to decimal places when converting fractions.In this scenario, I would use the whiteboard to go through long division step-by-step.Answer = 0.875
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Answered by Ebele A. • Maths tutor
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