`sec x = 2` का हल है -

Options

A. ` x = 2npi pm pi/3 , n in Z`
B. ` x = npi pm pi/3 , n in Z`
C. ` x = 2npi pm pi/4 , n in Z`
D. ` x = npi pm pi/6 , n in Z`

Answer

A

Explanation

`sec x = 2 = sec .pi/3 " अथवा " sec.(2pi - pi/3)`
` rArr x = pi/3 "अथवा " (2pi-pi/3)`
` rArr x = pi/3 " अथवा " (5pi)/3`
तब समीकरण sec x =2 का मुख्य हल `x = pi/3`
अथवा `(5pi)/3`
` sec x = 2`
` 1/(cosx)=2`
` cos x = 1/2 = cos 60^(@)`
` cos x = cos. pi/3`
व्यापक हल ` x = 2npi pm pi/3 , n in Z`