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I'll try to translate these questions to the best of my ability, since it's originally written in Swedish. (there's a distinct lack of online math discussion over here for some reason) I have 2 questions in total.
Here it goes;
1- I have to calculate the exact value of sin(105). How do I do that?
2- I need to calculate the "area" between these two f(t)=13t-5t^2 and f(t)= 1/2t
All help is appreciated!
Zzulu,
I shall help you with the first problem.
Sin(A+B)=SinACosB+CosASinB
Sin(105)=Sin(60+45)=Sin60Cos45+Cos60Sin45
We know, sin60=√3/2, cos45=1/√2, cos60=1/2, sin45=1/√2
Therefore, Sin(105)=√3/2√2+1/2√2= (√3+1)/2√2
= (approximately) 0.9659
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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