Question

सिद्ध कीजिए की ` ( cos ( 90^(@) +theta) sec ( -theta ) tan ( 180^(@) - theta ) )/( sec ( 360^(@) -theta ) sin ( 180^(@) + theta ) cot( 90^(@) -theta ) ) =- 1 `

Answer 1

बायाँ पक्ष `" " =(cos(90^(@)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)- theta)(180^(@)+theta)cot(90^(@)-theta))`
`=((-sin theta)sec theta(-tan theta))/(sec theta(-sin theta)tan theta)`
`=(sin theta sec theta tan theta)/(-sec theta sin theta tan theta)`
`=-1=` दायाँ पक्ष