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Two-angles-of-a-triangle-are-cot-1-2-and-cot-1-3-Then-the-third-angle-is-




Question Number 12160 by indreshpatelindresh@435gmail.i last updated on 15/Apr/17
Two angles of a triangle are cot^(−1) 2  and cot^(−1) 3. Then the third angle is
Twoanglesofatrianglearecot12andcot13.Thenthethirdangleis
Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 15/Apr/17
tg(cot^(−1) 2+cot^(−1) 3)=((tg(cot^(−1) 2)+tg(cotg^(−1) 3))/(1−tg(cot^(−1) 2)tg(cotg^(−1) 3)))=  (((1/2)+(1/3))/(1−(1/6)))=((5/6)/(5/6))=1⇒A+B=45⇒C=180−45=135 .■
tg(cot12+cot13)=tg(cot12)+tg(cotg13)1tg(cot12)tg(cotg13)=12+13116=5656=1A+B=45C=18045=135.◼

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