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Express 2Cos(a) - Sin(a) in the form RCos(a+b) Give the exact value of R and the value of b in degrees to 2 d.p.

R = 5 0.5 b = 26.57 degrees
WF
Answered by William F. • Maths tutor
5286 Views

How to find the reciprocal of a graph, such as y=cos(x)?

To find the reciprocal of any graph, first consider the key points, in this case: (0,1), (90,0), (180,-1), (270,0) and (360,1). Since we are finding the reciprocal in the y-axis, we can find the reciprocal o...
AA
Answered by Aqeel A. • Maths tutor
5792 Views

log8(5) = b. Express log4(10) in terms of b

log 8 5=b using the base change rule log 8 5 = log 4 5/ log 4 8 log 4 8 can be solved: log 4 8 =x 4 x =8 2 2x = 2 3 2x=3 x= 3/ 2 Therefore we can write: log 8 5 = log 4 5/( 3/ 2) =b log 4 5 =( 3/ 2) b [1] To...
BM
Answered by Beatrice M. • Maths tutor
10745 Views

Let f(x) = x * sin(2x). Find the area beneath the graph of y = f(x), bounded by the x-axis, the y-axis and the line x = π/2.

After short consideration, we see that we must integrate f(x) with respect to x, between 0 and π/2, using integration by parts. Taking the formula for integration by parts, we set u = x and dv/dx = sin(2x). ...
BC
Answered by Benjamin C. • Maths tutor
5422 Views

How to expand squared brackets?

Take, for example, the bracket (a+5)^2. The longer way to do it would be to write (a+5)^2 as (a+5)(a+5) and multiply out that way. However, there is a shorter way where all you have to do is square the first...
DC
Answered by Diana C. • Maths tutor
39908 Views