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. . . . .\sin\left[\arccos\left(-\dfrac{\sqrt{3\,}}{2}\right)\, +\, \arctan\left(-\dfrac{\sqrt{3\,}}{3}\right)\right] so I know these are easy angles and we all know the values, but what if they weren't and I couldn't use a calculator? My teacher said it can be solved using sin(a+b) = sina cosb...

Line perpendicular to two skew lines I've been given these two lines and need to find the equation of a l line that is perpendicular to BOTH . What i've done so far: r : x = 2+3a , y = 2 , z= 3-2a Checked and they aren't parallel and don't have any commom points. s: x = 1-2b ...

so lets suppose i know the composite function : (f o g)(x) and one function g(x). How do i calculate the other one? i mean i know that a composite function have several possible pairs of functions,but when i already have one of them stickied it is still many possibilities? (f o g)(x) =...

Consider the family of all circumferences that are simultaneously tangent to the lines r: y=-4/3x + 3 and s: y=-1. What is the geometric locus and its equation formed by all the circumferences center? I think it is a line but how do i get to the equation??

x^2-2x-4y^2-24y=39 In my calculations it is ((x-1)^2)/ 4 - (y-3)^2 = 1 . But using calculators and geometry programs it is said that its (y+3)^2 instead of (y-3)^2. Please help i did it multiple times and cant understand how that 3 can be positive.