Cos t (sec t - cos t)

simplify the expression

Question

Mathematics

Guest

5 February, 09:57

Cos t (sec t - cos t)

simplify the expression

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Answers (1)

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Nicky · Answer 1

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

Cos t (sec t - cos t)simplify the expression

Cos t (sec t - cos t)

simplify the expression