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Only manipulate one side. Please type the answer
cotβ − cotβcos²β = sinβcosβ

User Sadek
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Answer:

Explanation:

Consider the RHS:

cot(β)-cot(β)(cos^2(β)=sin(β)cos(β)

Factor cot

cot(β)(1-cos^2(β)=sin(β)cos(β)

Use Pythagorean Idenity

cot(β)(sin^2(β)= sin(β)cos(β)

Simplify cot(β)= sin(β)cos(β)

(cos(β)/sin(β))(sin(β)sin(β)= sin(β)cos(β)

sin(β)cos(β)=sin(β)cos(β)

QED

User Michael Chinen
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