1.

The expression `(tan57^(@)-cot75^(@))/(tan15^(@)-tan60^(@))` isA. `tan30^(@)cot57^(@)`B. `tan57^(@)cot37^(@)`C. `tan33^(@)cot53^(@)`D. `tan33^(@)cot37^(@)`

Answer» Correct Answer - b
`(tan57^(@)+cot37^(@))/(tan33^(@)+cot53^(@))/(tan33^(@)+cot53^(@))`
`((1)/(tan33^(@))+tam33^(@))/(tan33^(@)+(1)/(tan53^(@)))`
`(1+tan53^(@)tan33^(@))/(tan33^(@).tan53^(@)+1)xx(tan53^(@))/(tan33^(@))`
`=tan53^(@).cot33^(@)=cot37^(@).tan57^(@)`
`=tan53^(@).cot33^(@)=cot37^(@).tan57^(@)`


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