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    Question

    If A and B are complementary angles, then the

    value of- sin A cos B + cos A sin B – tan A tan B + sec 2 A – cot 2 B is–
    A 1 Correct Answer Incorrect Answer
    B -1 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer

    Solution

    sin A cos B + cos A sin B – tan A tan B + sec2 A – cot2 B
    = sinA sin A + cosA cosA – tanA. cot A + sec2A – tan2B
    = (sin2A + cos2A) – 1 + (1)
    = 1 – 1 + 1
    = 1

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