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)² -(1-sint)² )/(1² -sin² t) ] = 1/4[(1+sin² t+2sint-(1+sin²t-2sint ) )/(1² -sin² t)] = 1/4[(1+sin²t+2sint-1-sin²t+2sint)/cos² t] =1/4[4sint /cos² t] =Sint/cos²t =tant. SectÂ
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