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If cotthetatantheta=2cosectheta, then ...

If `cotthetatantheta=2cosectheta`, then find the general value of `theta`.

A

`2npi+-(1)/(4)`

B

`2npi+-(pi)/(4)`

C

`2npi+-(pi)/(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Given ,`(cottheta)/(sintheta)+(sintheta)/(costheta)=(2)/(sintheta)`
`rArrcos^(2)theta+sin^(2)theta=2costheta,sinthetane0`
`rArr1=2costheta`
`rArrcostheta=(1)/(2)`
`rArrtheta2npi+-(pi)/(3)`
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