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Subhash Prasad Pandit
Asked: 2022-11-01T04:25:33+05:30 In:

The general solution of the equation, `2cot.(theta)/(2)=(1+cot theta)^(2)` is `(n in Z)`
A. `n pi+(-1)^(n)(pi)/(4)`
B. `n pi+(-1)^(n)(pi)/(6)`
C. `n pi+(-1)^(n)(pi)/(3)`
D. none of these

The general solution of the equation, `2cot.(theta)/(2)=(1+cot theta)^(2)` is `(n in Z)`
A. `n pi+(-1)^(n)(pi)/(4)`
B. `n pi+(-1)^(n)(pi)/(6)`
C. `n pi+(-1)^(n)(pi)/(3)`
D. none of these
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  1. Correct Answer – B
    `2cot.(theta)/(2)=(1+cot thetas)^(2)`
    `rArr (2.2 cos theta//2.cos theta//2)/(2 sin theta//2.cos theta//2)=(1+cos theta)^(2)`
    `rArr (2(1+cos theta))/(sin theta)=cosec^(2)theta + 2 cos theta`
    `rArr sin theta =1//2`
    `rArr theta = n pi +(-1)^(n)(pi)/(6), n in Z`

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