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    Question

    Determined the simplified value of the given

    expression:(1 - sin2 q) X (sec q + tan q) X (sec q - tan q) X cosec2 q
    A cot²q Correct Answer Incorrect Answer
    B sin²q Correct Answer Incorrect Answer
    C cos²q Correct Answer Incorrect Answer
    D tan²q Correct Answer Incorrect Answer

    Solution

    (1 - sin2 q) X (sec q + tan q) X (sec q - tan q) X cosec2 q= cos2 q X (sec2 q - tan2 q) X cosec2 q ...... (Using sin2 a + cos2 a = 1)= cos2 q X (1/sin2 q) ....... (Using sec2 a - tan2 a = 1)= cot² q

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