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

Daniaal Sanchez

Daniaal Sanchez

Answered question

2021-01-31

Solve the equation tanx+cotytanxcotx=tany+cotx

Answer & Explanation

faldduE

faldduE

Skilled2021-02-01Added 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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