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Maths
A Level

Integrate Cos^2(x)

{} = integral sign for purpose of this solutioncos2x = 1 - sin2x (1)cos 2x = cos2x - sin2x (2)cos2x = 1 - (cos2x - cos 2x)cos2x...

Answered by Ryan S. Maths tutor
6742 Views

A triangle has sides a,b,c and angles A,B,C with a opposite A etc. If a=4,b=3,A=40, what is the area of the triangle?

First use the sine rule (that a/sin(A)=b/sin(B)=c/sin(C)) to find the value of B. a/sin(A)=b/sin(B) so B=arcsin(bsin(A)/a) which is approximately equal to 28.82. Since the angles of a triangle have 18...

Answered by Maths tutor
1614 Views

Show that '2sinx = (4cosx -1) / (tanx)' can be written as '6cos^2(x) - cosx - 2 = 0'

This is likely to be a 3 mark question in an exam.Original equation: 2sinx = (4cosx - 1) / tanxNote that the final equation is written in terms of cosx only. Therefore, we shou...

Answered by Anjuli B. Maths tutor
6789 Views

x is an angle, if 180 > x > 90 and sinx = √2 / 4 what is the value of angle x

sin-1(√2 / 4 ) = 20.7•Looking at a sin graph this is also true at 180-20.7 = 159.3•x = 159.3•

Answered by Matilda Q. Maths tutor
1732 Views

If y = 4x^3 - 6x^2 + 7 work out dy/dx for this expression

y = 4x^3 - 6x^2 + 7 dy/dx = 12x^2 -12x

Answered by Matilda Q. Maths tutor
1830 Views

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