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5 February, 09:57

Cos t (sec t - cos t)

simplify the expression

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Answers (1)
  1. 5 February, 11:05
    0
    Remember:

    sec t=1/cos t

    sin²t+cos²t=1 ⇒sin²t=1-cos² t

    Therefore:

    cos t (sec t - cost) = (cos t * sec t) - cos² t = (cos t * 1/cos t) - cos² t=1-cos²t=sin² t

    Answer: cos t (sec t-cos t) = sin² t
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