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Maths
A Level

By first proving that sin2θ=2sinθcosθ, calculate ∫1+sinθcosθ dθ.

We have, from the formula book, sin⁡(A±B)=sinAcosB±cosAsinB Using A=B=θ, we have sinθ+θ=sinθcosθ+cosθsinθ Which we can simplify to sin2θ=2sinθcosθ as required. We can t...

Answered by Abigail H. Maths tutor
6427 Views

How would we evaluate (1/3)^-3/2 ?

When evaluating more complex exponentials it is helpful to break them up into smaller steps. so when we are aproched with (1/3)-3/2 we should first look at the effect that the negative sighn ha...

Answered by Riley R. Maths tutor
3712 Views

Fnd ∫x^2e^x

Intergration by parts (IBP). - This accours every time you have a mulitplication in an intergral. This quesion wants you to find the area under the graph x2ex. For any intergration b...

Answered by Rachel B. Maths tutor
5485 Views

Differentiate 2x/cos(x)

Given that you have a fraction in the question, you are clearly asked to use the quotient rule. In order to do this, you should label the numerator u, and the denominator v, like this: u = 2x v=cos(x). No...

Answered by James S. Maths tutor
7312 Views

Using transformation rules and your knowledge of trigonometric functions, draw the graph y=2sin(2x)

would use paper to show the student the final answer Your answer will be based around the graph of y=sin(x), which has a y maximum of 1 and minimum of -1, and one full cycle is completed by 2 pi....

Answered by Victoria M. Maths tutor
4991 Views

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