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Without using trigonometric table, evalu...

Without using trigonometric table, evaluate the following: `(cosec^2(90-theta)-tan^2theta)/(4(cos^2 48^@+cos^2 42^@))-(2tan^2 30^@ sec^2 52^@ sin^2 38^@)/(cosec^2 70^@-tan^2 20^@`

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To evaluate the expression \[ \frac{\csc^2(90^\circ - \theta) - \tan^2 \theta}{4(\cos^2 48^\circ + \cos^2 42^\circ)} - \frac{2 \tan^2 30^\circ \sec^2 52^\circ \sin^2 38^\circ}{\csc^2 70^\circ - \tan^2 20^\circ} \] we will use some trigonometric identities. ...
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