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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

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

2. Chiomatn93

Ok so what's the answer?

3. AccessDenied

Try doing the problem as I said and find out. ;)

4. Chiomatn93

im so lost

5. AccessDenied

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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