Question
Evaluate
$2\left(\frac{\tan 35^{\circ}}{\cot 55^{\circ}}\right)+\left(\frac{\cot 55^{\circ}}{\tan 35^{\circ}}\right)-3\left(\frac{\sec 40^{\circ}}{\cos e c 50^{\circ}}\right)$

Answer

$2\left(\frac{\tan 35^{\circ}}{\cot 55^{\circ}}\right)+\left(\frac{\cot 55^{\circ}}{\tan 35^{\circ}}\right)-3\left(\frac{\sec 40^{\circ}}{\cos e c 50^{\circ}}\right) $
$=2\left(\frac{\tan \left(90^{\circ}-55^{\circ}\right)}{\cot 55^{\circ}}\right)+\left(\frac{\cot \left(90^{\circ}-35^{\circ}\right)}{\tan 35^{\circ}}\right)-3\left(\frac{\sec \left(90^{\circ}-50^{\circ}\right)}{\cos e c 50^{\circ}}\right)$
$ =2\left(\frac{\cot 55^{\circ}}{\cot 55^{\circ}}\right)+\left(\frac{\tan 35^{\circ}}{\tan 35^{\circ}}\right)-3\left(\frac{\cos e c 50^{\circ}}{\cos e c 50^{\circ}}\right) $
$ =2(1)^2+1^2+-3 $
$=2+1-3$
$=0$

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