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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...

AH
Answered by Abigail H. Maths tutor
6549 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...

RR
Answered by Riley R. Maths tutor
3871 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...

RB
Answered by Rachel B. Maths tutor
5604 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...

JS
Answered by James S. Maths tutor
7536 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....

VM
Answered by Victoria M. Maths tutor
5197 Views

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