Find the possible value of cosx if cotx+cosec=5
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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
cosx=√1-(5/13)²
cosx = 12/13
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
cosx=√1-(5/13)²
cosx = 12/13
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