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Chiomatn93

  • 3 years ago

write the trig expression in terms of sine and cosine then simplify. cos t tan t cos t csc t

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  1. AccessDenied
    • 3 years ago
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    \[\tan t = \frac{\sin t}{\cos t} \\ \cot t = \frac{\cos t}{\sin t} \\ \sec t = \frac{1}{\cos t} \\ \csc t = \frac{1}{\sin t} \] Just some definitions that would help. You basically just substitute the definition with sines/cosines and simplify from there.

  2. Chiomatn93
    • 3 years ago
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    Ok so what's the answer?

  3. AccessDenied
    • 3 years ago
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    Try doing the problem as I said and find out. ;)

  4. Chiomatn93
    • 3 years ago
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    im so lost

  5. AccessDenied
    • 3 years ago
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    We have: \(\cos t \tan t\) By definition, \(\large{ \tan t = \frac{\sin t}{\cos t} } \) So, we can substitute the definition of \(\tan t\) for it in the expression: \[ \cos t \times \frac{\sin t}{\cos t} = \frac{\sin t \cos t}{\cos t}\] There, you can simplify further because the \(\cos t\)'s will have both one in the numerator and denominator.

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