Solve the equation {tan x+cot y}{tan xcot x}=tan y+cot x

Daniaal Sanchez 2021-01-31 Answered
Solve the equation tanx+cotytanxcotx=tany+cotx
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Expert Answer

faldduE
Answered 2021-02-01 Author has 109 answers
Work on the left side.
Rewrite as a sum:
tanx+cotytanxcotx=tanxtanxcoty+cotxtanxcoty
Simplify each term:
tanx+cotytanxcoty=1coty+1tanx
Use the reciprocal identities: tanθ=1cotx and cotθ=1tanθ
tanx+cotytanxcotx=tany+cotx
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