` cot x = -sqrt (3)` का व्यापक हल है -

Options

A. ` x= n pi + (5pi)/6, n in Z`
B. ` x= n pi + (pi)/6, n in Z`
C. ` x= 2n pi + (pi)/6, n in Z`
D. ` x= n pi + (pi)/3 , n in Z`

Answer

`A`

Explanation

` cot x = -sqrt(3) = -cot.pi/6`
`rArr cot x = cot.(pi-pi/6) "अथवा " cot.(2pi - pi/6)`
` rArr cot x = cot. (5pi)/6 ` अथवा `cot.(2pi - pi/6)`
`rArr x = (5pi)/6" अथवा " (11pi)/6`
अतः समीकरण `cot x = sqrt(3)` का
मुख्य हल `x = (5pi)/6" अथवा "(11pi)/6`
तथा व्यापक हल ` x= n pi + (5pi)/6, n in Z`