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If cotA+CosecA=5 SinA=? please solve I am on the way of study and teaching so please help me.

If cotA+CosecA=5
    SinA=? 
 please solve I am on the way of study and teaching so please help me.

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Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
given cotx+cosecx=5.............(i)
we know from identities cosec²x-cot²x=1
 ⇒(cosecx+cotx)(cosecx-cotx)=1
cosecx-cot= 1/5 ..................(ii)
solving (i) and (ii),we get 
2cosecx = 26/5
cosecx=13/5
∴ sinx = 5/13
 

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