How do you simplify $cot x xx sin x$ ?

Question

4143 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-17T12:27:04

$(cos x)/(sin x) xx sinx$

= $cosx$

All of the 6 trig ratios can be expressed in terms of $sin theta$ and / or $cos theta$

$tan theta = (sin theta)/(cos theta) " "(o/h)/(a/h) = (o xxh)/(axxh) = o/a$

$cot theta = 1/(tan theta) = (cos theta)/(sin theta)$

$sec theta = 1/(cos theta)$

$cosec theta =1/(sin theta)$

$cotx xxsinx$

= $(cos x)/cancel(sin x) xxcancel sinx$

= $cosx$

How do you simplify cot x xx sin xcot x xx sin x?