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28 January, 13:01

Which of the following is an identity? A. secx tanx - cosx cotx = sinx B. (tanx + cotx) (sinx cosx) = 1 C. sin2x = 4 - 2cos2x D. cosx (2sinx + 1) = 0

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  1. 28 January, 13:23
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    Letter B

    (tanx + cotx) (sinxcosx) = 1

    [ (sinx/cosx) + (cosx/sinx) ] (sinxcosx) = 1

    [ (sinxcosx) (sinx/cosx) + (sinxcosx) (cosx/sinx) ] = 1

    [ (sinx) ^2 + (cosx) ^2] = 1

    *Pythagorean Identity*

    1 = 1
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