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Grade 11Trigonometry

If Cosec A +cot A = 11/2 ,then what is the value of tan A

Question image for If Cosec A +cot A = 11/2 ,then what is the value
Profile image of Sudhir
7 Years agoGrade 11
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1 Answer

Profile image of Aditya Gupta
7 Years ago
the picture shows a diff ques, while your ques written above is diff. anyways, i ll answer the ques written above by you:
let sina=s and cosa=c
so 2(1+c)=11s
2=11s/(1+c)
2=11(1-c)/s....[because s/(1+c)=(1-c)/s]
but tan(a/2)=(1-c)/s
so tan(a/2)=2/11=t
so tana=2t/(1 – t^2)
=2*2*11/117
=44/117