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Without using trigonometric tables , eva...

Without using trigonometric tables , evaluate : `((tan20^(@))/(cosec70^(@)))^(2)+((cot20^(@))/(sec70^(@)))^2+2tan 15^(@)tan37^(@)tan53^(@)tan60^(@)tan75^(@)`

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To evaluate the expression \[ \left(\frac{\tan 20^\circ}{\csc 70^\circ}\right)^2 + \left(\frac{\cot 20^\circ}{\sec 70^\circ}\right)^2 + 2 \tan 15^\circ \tan 37^\circ \tan 53^\circ \tan 60^\circ \tan 75^\circ, \] we will use the complementary angle identities and some trigonometric properties. ...
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