Question
(1+sint)/(4-4sint)-(1-sint)/(4+4sint)
=?Solution
(1+sint)/(4-4sint)-(1-sint)/(4+4sint) ? =1/4[(1+sint)/(1-sint)-(1-sint)/(1+sint)] =1/4[((1+sint)Ā² -(1-sint)Ā² )/(1Ā² -sinĀ² t)Ā ] = 1/4[(1+sinĀ² t+2sint-(1+sinĀ²t-2sint ) )/(1Ā² -sinĀ² t)] = 1/4[(1+sinĀ²t+2sint-1-sinĀ²t+2sint)/cosĀ² t] =1/4[4sint /cosĀ² t] =Sint/cosĀ²t =tant. SectĀ
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