tan² 66º - cot² 24º = 0 without using trigonometric table prove that
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A.T.Q
L.H.S = tan²66° — cot²24° | R.H.S = 0
= tan²66° — cot²24°
= tan²(90—24)° — cot²24°
---------------(as, 66= 90-24)
= cot²24 — cot²24
------------{as, tan(90-¢) = cot¢}
= 0
hence, L.H.S = R.H.S (i.e. 0)
therefore, tan²66° — cot²24° = 0
hence proved..
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