1.

The value of `(sin300^(@).tan330^(@).sec420^(@))/(tan135^(@).sin210^(@).sec315^(@))` isA. `-1`B. 1C. `sqrt(2)`D. `sqrt(3)`

Answer» Correct Answer - C
Given expression
`=(sin(360^(@)-60^(@)).tan(360^(@)-30^(@)).sec(360^(@)+60^(@)))/(tan(180^(@)-45^(@)).sin(180^(@)+30^(@)).sec(360^(@)-45^(@)))`
`=((-sin 60^(@)).(-tan 30^(@)).sec 60^(@))/((-tan 45^(@)).(-sin 30^(@)).sec 45^(@))`
`=(sin 60^(@).tan30^(@).sec60^(@))/(tan 45^(@).sin 30^(@).sec 45^(@))`
`= ((.sqrt(3))/(2).(1)/(sqrt(3)).2)/(1.(1)/(2).sqrt(2))=sqrt(2)`


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