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Maths
A Level

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 = 50.5

b = 26.57 degrees

Answered by William F. Maths tutor
4099 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 reciproca...

Answered by Aqeel A. Maths tutor
4363 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...

Answered by Benjamin C. Maths tutor
4274 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 fi...

Answered by Diana C. Maths tutor
31769 Views

What is integration?

Integration is the reverse of calculating the derivative in maths. We can use integration to determine the area under a graph between to x values. I will demonstrate a basic integration question to show y...

Answered by Dorothy H. Maths tutor
3206 Views

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