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    Question

    (1+sint)/(4-4sint)-(1-sint)/(4+4sint)

    =?
    A tant.cost Correct Answer Incorrect Answer
    B tant. Sect Correct Answer Incorrect Answer
    C cot t.Cosect. Correct Answer Incorrect Answer
    D sect.sint Correct Answer Incorrect Answer

    Solution

    (1+sint)/(4-4sint)-(1-sint)/(4+4sint) ? =1/4[(1+sint)/(1-sint)-(1-sint)/(1+sint)] =1/4[((1+sint)┬▓ -(1-sint)┬▓ )/(1┬▓ -sin┬▓ t)┬а ] = 1/4[(1+sin┬▓ t+2sint-(1+sin┬▓t-2sint ) )/(1┬▓ -sin┬▓ t)] = 1/4[(1+sin┬▓t+2sint-1-sin┬▓t+2sint)/cos┬▓ t] =1/4[4sint /cos┬▓ t] =Sint/cos┬▓t =tant. Sect┬а

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