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    Question

    The expression of (cot Īø + cosec Īø āˆ’1) / (cot Īø āˆ’

    cosec Īø+1) is equal to
    A A Correct Answer Incorrect Answer
    B B Correct Answer Incorrect Answer
    C C Correct Answer Incorrect Answer
    D D Correct Answer Incorrect Answer

    Solution

    (CotĪø + CosecĪø ā€“ 1) / (CotĪø ā€“ CosecĪø + 1) we know that [ āˆµ Cosec2Īø ā€“ cot2Īø = 1] => (CotĪø + CosecĪø ā€“ (Cosec2Īø ā€“ cot2Īø)) / (CotĪø ā€“ CosecĪø + 1) => (CotĪø + CosecĪø ā€“ (CosecĪø + cotĪø) (CosecĪø - cotĪø)) / (CotĪø ā€“ CosecĪø + 1) => (CotĪø + CosecĪø (1 ā€“ CosecĪø + cotĪø)) / (CotĪø ā€“ CosecĪø + 1) => (CotĪø + CosecĪø) => (CosĪø / SinĪø) + (1 / SinĪø) = (CosĪø + 1) / (SinĪø)

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