How do you verify the identify $cotthetasectheta=csctheta$ ?

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Answer 1 · 2016-08-02T16:48:43

The following identities are very important:

• $tanalpha = sin alpha/cosalpha$

• $cscalpha = 1/sinalpha$

• $secalpha = 1/cosalpha$

• $cotalpha = 1/tanalpha$

Applying the aforementioned identities:

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

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

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

$1/sintheta = 1/sintheta$

Identity proved!!

Hopefully this helps!

How do you verify the identify cotthetasectheta=cscthetacotthetasectheta=csctheta?