Question

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

Answer 1

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