How do you simplify $cot theta sec theta sin theta$ ?

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Answer 1 · 2018-03-25T07:12:43

The expression is equal to $1$ .

Use these two identities:

$cottheta=1/tantheta=1/(sintheta/costheta)=costheta/sintheta$

$sectheta=1/costheta$

Here's the expression:

$color(white)=cotthetasecthetasintheta$

$=cottheta*sectheta*sintheta$

$=costheta/sintheta*1/costheta*sintheta$

$=color(red)cancelcolor(black)costheta/sintheta*1/color(red)cancelcolor(black)costheta*sintheta$

$=1/sintheta*1*sintheta$

$=1/sintheta*sintheta$

$=1/color(red)cancelcolor(black)sintheta*color(red)cancelcolor(black)sintheta$

$=1$

That's it. Hope this helped!

How do you simplify cot theta sec theta sin thetacot theta sec theta sin theta?