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The most general solution of `theta` satisfying the equations `sintheta=sinalpha` and `costheta=cosalpha` is

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The most general solution of `theta` satisfying the equations `sintheta=sinalpha` and `costheta=cosalpha` is
A. `2npi + alpha`
B. `2n pi - alpha`
C. `n pi + alpha`
D. `n pi - alpha`
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1 Answer

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Best answer
Correct Answer - C
Since `sin theta = sin alpha " "…..(i)`
and `cos theta = cos alpha " "…(ii)`
[divided Eq.(i) by Eq(ii)]
`therefore " " tan theta = tan alpha`
`rArr " " theta = npi + alpha`
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