सिद्ध कीजिए -
` sec ^( -1) x + cosec ^ ( -1 ) x = ( pi ) /(2) `

Explanation

` sec ^( -1) x + cosec ^( -1) x = ( pi ) /(2 ) `
माना ` sec ^( -1) x = theta" " `...(1)
` therefore x = sec theta `
` rArr x = cosec (( pi ) /(2) - theta ) `
` rArr cosec ^( -1) x = ( pi ) / (2) - theta " " `...(2)
समी. (1 ) तथा (2 ) को जोड़ने पर,
` sec ^( -1) x + cosec ^( -1) x = theta + ( pi ) /(2) - theta = ( pi ) /(2) `