If \tan(20^\circ)=p, find \frac{\tan(160^\circ)-\tan(110^\circ)}{1+\tan(160^\circ)\tan(110^\circ)}

Travis Caldwell

Travis Caldwell

Answered question

2022-04-22

If tan(20)=p, find tan(160)tan(110)1+tan(160)tan(110)

Answer & Explanation

Jonas Dickerson

Jonas Dickerson

Beginner2022-04-23Added 22 answers

tan160tan1101+tan160tan110=tan(160110)
=tan50
=cot40
=1tan40
tan40=tan20+tan201tan220=2p1p2
tan160tan1101+tan160tan110=1p22p

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