Simplification: sin (2 α + β) / sin α - 2cos (α + β) RT. | Math enthusiast | Mathematical art

Simplification: sin (2 α + β) / sin α - 2cos (α + β) RT.

Original formula = [sin (α + β) cos α + cos (α + β) sin α - 2Sin α cos (α + β)] / sin α = [sin (α + β) cos α - cos (α + β) sin α] / Sina = sin β / sin α

Sin θ / 2cos θ / 2 reduction

=1/2sinθ
Double angle formula

Simplification: sin * θ / 2cos * θ / 2

Original formula = 1 / 2 * (2Sin * θ / 2cos * θ / 2)
=1/2sinθ

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