New NABARD Workshop - Last 4 year trend. March 5 at 5 PM. Register here

    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)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. Sect 

    Practice Next