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    Question

    Which of the following is true when x = SinA + CosA and

    y = SecA + CosecA?
    A y(1-2x²) = x Correct Answer Incorrect Answer
    B y (1 + x²) = 2x Correct Answer Incorrect Answer
    C y-2x = x²y Correct Answer Incorrect Answer
    D y + 2x = x²y Correct Answer Incorrect Answer

    Solution

    x = SinA + CosA        … (1) y = SecA + CosecA =1/cosA +1/sinA =(sinA+CosA)/SinA.CosA y = x/SinA.CosA        … (2) EQ (1) both sides squaring… x2=1+2sinA.CosA SinA.CosA =(x2-1)/2  Put the value in EQ (2). y =2x /(x2-1) yx2-y =2x y+2x =x2y.

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