if cosec x+ cot x=11/2, then tan x=
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Answer:
hey mate here is your answer..
Step-by-step explanation:
Given cosecx+cotx=
2
11
⋯(1)
As we know that
cosec
2
x−cot
2
x=1
⟹(cosecx−cotx)(cosecx+cotx)=1
⟹(cosecx−cotx)(
2
11
)=1
⟹cosecx−cotx=
11
2
⋯(2)
(1)−(2)⟹2cotx=
2
11
−
11
2
=
22
11
2
−2
2
⟹cotx=
44
117
⟹tanx=
117
44
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