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∫  Cosec (x)/Sec (x) dx∫  [1/Sin (x)]/ [1/Cos (x)] dx∫  [1/Sin (x)] * [Cos (x)] dx∫  Cot (x)= ln [Sin (x)] + c

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 12/3...

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-x² which is easie...

Using the chain rule we differentiate the ‘outside function’, then differentiate the ‘inside function’ and multiply both derivatives together giving 2sin(x)cos(x)

If you look at the formulae for the Sine and Cosine rules you'll see that the Sine rule involves two angles and two sides and the Cosine rule involves one angle and three sides.So have a look at the probl...