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    Question

    If sec²x + csc²x = 10, find the value of tan²x +

    cot²x.
    A 18 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer

    Solution

    Using the identities sec²x = 1 + tan²x and csc²x = 1 + cot²x,  substitute: (1 + tan²x) + (1 + cot²x) = 10. Simplify: 2 + tan²x + cot²x = 10. tan²x + cot²x = 8. Correct answer: d

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