Using double angle identities a total of four times, one for each expression in the left hand side, I acquired this.
sinα+sinβcosα+cosβ=sin(α2)cos(α2)+sin(β2)cos(β2)cos2(α2)−sin2(β2)
But I know that if α and β are angles in a triangle, then this expression should simplify to
tan(α+β2)
I can see that the denominator becomes cos(α+β2)
But I cannot see how the numerator becomes
sin(α+β2)
What have I done wrong here?
No comments:
Post a Comment