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Integral of Cosec(x)/Sec(x) (i.e. Use of trignometric identities)

∫ Cosec (x)/Sec (x) dx∫ [1/Sin (x)]/ [1/Cos (x)] dx∫ [1/Sin (x)] * [Cos (x)] dx∫ Cot (x)= ln [Sin (x)] + c
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Answered by Sean M. • Maths tutor
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In a class there are 12 girls and 18 boys. what proportion of the girls are there in the class? Simplify

the total number of students in the class would be 12 girls plus 18 boys which is 30 in total. The proportion of the girls would mean dividing the number of girls by the total number of students so 12/30. as...
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Answered by Ionela M. • Maths tutor
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Two numbers add to make 1000. What would they have to be to maximise their product?

We can write the two numbers as x and 1000-x, because x+(1000-x) = 1000 for any x we pick. Now we want to maximise the product x(1000-x); expanding the brackets gives us 1000x-x 2 which is easier to work wit...
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Answered by Ankur D. • Maths tutor
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To what extent does a 'Muslim community' exist in the UK?

In contemporary Britain, references are often made to the British 'Muslim community' in the media or government. However, it is broadly incorrect to use this term. Culturally, British Muslims are highly dive...
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Answered by Richard M. • Politics tutor
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What are the stages of the cell cycle?

For cells in the body that replicate, they undergo mitosis to produce two identical daughter cells from one parent cell. These cells are undergoing a cycle, called the cell cycle, with several stages leading...
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Answered by Aisha M. • Biology tutor
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