Question

If A+B+C =180°,prove that cotB. cotC =1/2​

Answer 1

Answer:

☆ QUESTION ☆

IF A+B+C =180 PROVE THAT COTC .COTB= 1/2

☆ ANSWER ☆

GIVEN :

A+ B+ C=180

TO PROVE :

COTB.COT C =1/2

PROOF :

A + B+ C =180

HERE <A =90

THEREFORE

B+C= 90 -------(1)

COT B.COT C

= COT ( B+C)

= COT (90) FROM (1)

= 1/2 ( COT 90 = 1/2)

HENCE PROVED

COTB.COTC = 1/2