How do you verify the identify $csctheta/cottheta=sectheta$ ?

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Answer 1 · 2016-08-22T15:03:51

See below.

Apply the following identities:

• $csctheta = 1/sintheta$

• $cottheta = 1/(tan theta) = 1/(sintheta/costheta) = costheta/sintheta$

• $sectheta = 1/costheta$

Now for the solution:

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

$1/sintheta xx sintheta/costheta = 1/costheta$

$1/cancel(sintheta) xx cancel(sin theta)/costheta = 1/costheta$

$1/costheta = 1/costheta$

Identity proved!!

Hopefully this helps!

How do you verify the identify csctheta/cottheta=secthetacsctheta/cottheta=sectheta?