Multiple Choice Questions on If ang A and ang B are complementary to each other then the value of sec2 A sec2 B ndash s........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If ang A and ang B are complementary to each other then the value of sec2 A sec2 B ndash s...........

Quantitative Aptitude ( CCS) Trignometry
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    If ∠A and ∠B are complementary to each other, then the value of sec2 A + sec2 B – sec2 A . sec2 B is

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    Explanation:

    A + B = 90° ⇒ B = 90° – A
    ∴  sec2 A + sec2 B – sec2 A . sec2 B
    = sec2 A + sec2 (90° – A) – sec2 A . sec2 (90° – A)
    [?  B = 90° – A ]
    = sec2 A + cosec2 A – sec2 A cosec2 A
    [?  sec (90° – A) = cosec A]

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