हल कीजिए - `3 tan ^(2) theta - 2 sqrt3 tan theta -3 = 0`

Explanation

दिया है - `3 tan ^2 theta -2 sqrt3 tan theta - 3 = 0`
`rArr tan theta = (2sqrt3 pmsqrt(12+36))/6`
` = (2sqrt3pm 4sqrt3)/6`
` = (6sqrt3)/6 , (-2sqrt3)/6`
` = sqrt3, (-1)/sqrt3`
यदि `tan theta =sqrt3 rArr theta = n pi pm pi/3, n in Z`
यदि `tan theta = (-1)/sqrt3 = tan ((-pi)/6)" तब " theta = n pi - pi/6 , n in Z`