How do you prove $secxcscx = sinx + cosxcotx$ ?

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Answer 1 · 2018-03-30T16:32:28

The identity is FALSE

We have:

$(1/cosx)(1/sinx) = sinx + cosx(cosx/sinx)$

$1/(cosxsinx) = sinx + cos^2x/sinx$

$1/(cosxsinx) = (sin^2x + cos^2x)/sinx$

$1/(cosxsinx) = 1/sinx$

This is clearly false.

Hopefully this helps!

How do you prove secxcscx = sinx + cosxcotxsecxcscx = sinx + cosxcotx?