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Solve cot theta + tan theta=2 cosec thet...

Solve `cot theta + tan theta=2 cosec theta`.

Text Solution

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The correct Answer is:
`theta=2npi pm pi/3, n in Z`
`cot theta + tan theta = 2 cosec theta`
or `(cos^(2) theta + sin^(2) theta)/(sin theta cos theta) = (2)/(sin theta)`
or `sin theta = 2 sin theta cos theta`
or `1 = 2 cos theta " " [ :' sin theta!= 0]`
or `cos theta = 1//2`
`rArr theta = 2n pi-+ pi//3, n in Z`
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