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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 then substitute this into the integral:...
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Answered by Abigail H. • Maths tutor
7762 Views

What is the difference between the function of a receptor and the function of an effector.

Receptors detect and sense changes in their surroundings, called stimuli, e.g. a light receptor. Effectors produce the response to the stimulus, e.g. a muscle.
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Answered by Claudia S. • Biology tutor
5548 Views

How do I answer a question asking me to describe and/or explain a graph?

These questions should be easy mark gainers as they don't usually require a lot of prior knowledge. However, many students find that they consistently lose all their marks on these questions. With many exam ...
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Answered by Kate B. • Biology tutor
21434 Views

Should I be watching French films with French subtitles or English subtitles?

I definitely recommed watching with subtitles in the target language. Even if you don't understand everything it is a really good way to recognise vocabulary and improve your accent for certain words.
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Answered by Holly T. • French tutor
4467 Views

How can I practise my Spanish outside of the classroom?

There are many ways to keep up your language skills whilst you're out of school. Watching foreign films is a great fun way of improving your listening and accent skills of the target language, reading books ...
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Answered by Holly T. • Spanish tutor
2627 Views