Evaluate :

2 (cos65/sin25)-tan20/tan70-sin90+tan5tan35tan60tan55tan85.

2(cos65 / sin25) - tan20 / tan70 - sin90 + tan5 tan35 tan60 tan55 tan85

= 2{sin(90 - 65) / sin25} - tan20 / cot(90 - 70) - sin90 + tan5 tan85 tan60 tan35 tan55

=2( sin25 / sin25) - tan20 / cot20 - sin90 + tan5 cot(90 - 85) tan60 tan35 cot(90 - 55)

=2 - tan20 X 1 / cot20 - sin90 + tan5 cot5 tan60 tan35 cot55

=2 - tan20 X tan20 - 1 + 1 X tan60 X1

=1 - tan220 + root3

=tan220 - 1 + root3

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