SOLUTION: How do you verify sin(α-β)/sin(α)cos(β)=1-cot(α)tan(β)? How do you manipulate the left side of the equation until it equals the right side?

SOLUTION: How do you verify sin(α-β)/sin(α)cos(β)=1-cot(α)tan(β)? How do you manipulate the left side of the equation until it equals the right side?

Algebra.Com

Question 961048: How do you verify sin(α-β)/sin(α)cos(β)=1-cot(α)tan(β)? How do you manipulate the left side of the equation until it equals the right side?
Answer by amarjeeth123(570) (Show Source): You can put this solution on YOUR website!
sin(α-β)/sin(α)cos(β)=(sin(α)cos(β)-cos(α)sin(β))/sin(α)cos(β)=1-cot(α)tan(β)=RHS
RELATED QUESTIONS
establish the identity: sin(α+β)/tan(α)tan(β)=... (answered by harpazo)

establish the identity. sin(θ+β)/tan(α)tan(β)=... (answered by harpazo)

sin(α+β)� sin(α−β) (answered by solver91311)

If α and β are acute and tan α = 1 7 , and cot β = 1 7 , find: (answered by stanbon)

If α and β are acute angles such that csc (α) = 17/15 and cot (β) =... (answered by lwsshak3)

Find sin( α - β) if cos(α)=1/2 and sin(β)= \frac{ \sqrt{3} }{2} ,... (answered by Boreal)

Please help me answer this!! Use the identity cos(α+β)=... (answered by ramkikk66)

By the principle of mathematical induction, prove that, for n ∈ N, cos α +... (answered by MathLover1)

verify... (answered by lwsshak3)