solve cotx-cot2x=2. find the value of x
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Answer:
L.H.S.=cotx-cot2x=
cosx
sinx
-
cos2x
sin2x
=
cosxsin2x-cos2xsinx
sinxsin2x
=
sin(2x-x)
sinxsin2x
=
sinx
sinxsin2x
When, x=15∘
1
sin2x
=
1
sin30∘
=2=R.H.S.
So, given equation is true for x=15∘
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