Friend of girl: I need to solve
sin(ax)sin(bx) - k cos(ax)cos(bx) = -1
where k > 1 is constant and so are a and b, and they are all irrational.

Girl: *notices boy so increases volume* Well, you could rewrite the left-hand side as:
\frac{1}{2}(\cos(ax-bx)-\cos(ax+bx))-\frac{k}{2}(\cos(ax+bx)+\cos(ax-bx))=-1

Boy: *to his friend, speaking loudly to impress girl* For the original equation:\sin (ax)\cdot\sin (bx) - k\cdot \cos (ax) \cos (bx) = 5

Girl: and sin(ax)sin(bx) - kcos(ax)cos(bx) + 1 = 10

Boy: and sin(bx) - kcsc(ax)cos(bx) + cot(ax) = 0

Girl: Which can be simplified to sin = 1

*Girl and Boy smile at each other*

Friend of girl to friend of boy: They're totally having study sex.

Bro since I got dirtpilled on Tuesday I have made sooo many worm friends and made them soo many little houses to get married in. Me? Lonely? No you’re the lonely one u lawn owning freak