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Why do we get cos(x) when we differentiate sin(x)?

If we have an equation for a line, it follows a certain shape when put it on Cartesian axes. If we wish to find the value of the gradient of the graph at a certain coordinate, we can use differentiation to g...
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Answered by Sophie H. • Maths tutor
6903 Views

Integrate 3 sin(x) + cos(2x)

Here is an example of integration where you would use the chain rule. You would begin by integrating 3sin(x) to get -3cos(x) and then cos(2x) to get 1/2sin(2x). This is because whatever is multiplied by the ...
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Answered by Dannielle S. • Maths tutor
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How do you find the angle between two lines in three dimensional vector space given two points on line 1 and the vector equation of line 2

Find the direction vector of line 1 Find the scalar product of the direction vectors of lines 1 and 2 Calculate the magnitude of both direction vectors Use (equation on whiteboard) to find the cosine of the ...
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Answered by Mark M. • Maths tutor
3934 Views

Write 36% as a fraction in its simplest terms.

36%= 36/100 Divide it by 2, the answer will be 18/50. It can then be divide by 2 again and getting to the answer of 9/25.
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Answered by Li Ying O. • Maths tutor
18185 Views

A ball is projected at an angle b from the horizontal. With initial velocity V the ball leaves the ground at point O and hits the ground at point A. If Vcos(b) = 6u and Vsin(b) = 2.5u, how long does the ball take to travel between O and A.

This is a classic 2-D projectile question. The best way to solve this problem is to split the velocity into its x and y components. In the x-direction a projectile has no forces acting on it (as we neglect a...
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Answered by Tristan C. • Maths tutor
8755 Views