How do you use the fundamental identities to simplify $sec α \cdot \frac{sin α}{tan α}$ $secalpha*sinalpha/tanalpha$ ?

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How do you use the fundamental identities to simplify $sec α \cdot \frac{sin α}{tan α}$ $secalpha*sinalpha/tanalpha$ ?

1 Answer

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Answer 1 · 2018-03-19T04:39:09

This expresión simplifies to $1$ $1$

Explanation:

We have:

$= \frac{1}{cos α} \cdot \frac{sin α}{\frac{sin α}{cos α}}$ $= 1/cosalpha * sinalpha/(sinalpha/cosalpha)$

$= \frac{1}{cos α} \cdot \frac{sin α cos α}{sin α}$ $= 1/cosalpha * (sin alpha cosalpha)/sinalpha$

$= 1$ $=1$

Hopefully this helps!

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How do you use the fundamental identities to simplify $sec α \cdot \frac{sin α}{tan α}$ $secalpha*sinalpha/tanalpha$ ?

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How do you use the fundamental identities to simplify secα⋅sinαtanαsecalpha*sinalpha/tanalpha?

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Explanation:

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How do you use the fundamental identities to simplify $sec α \cdot \frac{sin α}{tan α}$ $secalpha*sinalpha/tanalpha$ ?