Find the value of $(tan 2^{o} tan 4^{o} tan 6^{o} - - - - - - tan 88^{o})$ .

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Solution

$(t a n 2^{\circ} t a n 4^{\circ} t a n 6^{\circ} . . . . . . . . . . . . . . . t a n 88^{\circ})$
$(t a n (90^{\circ} - 88^{\circ}) (t a n (90^{\circ} - 86^{\circ}) . . . . . . . . (t a n 86^{\circ}) (t a n 88^{\circ}))$
$(c o t 88^{\circ}) (c o t (86^{\circ}) . . . . . . . . . . . (t a n 86^{\circ}) (t a n 88^{\circ})$
$(\frac{1}{t a n 88^{\circ}}) (\frac{1}{t a n 86^{\circ}}) . . . . . . . . . . . . . . (t a n 86^{\circ}) (t a n 88^{\circ})$
$= 1$

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