How do you use the fundamental identities to simplify $cotthetasectheta$ ?

Question

3184 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-30T05:38:32

$csctheta$

Identities to know:
$cottheta=costheta/costheta$

$sectheta=1/costheta$

$csctheta=1/sintheta$

$cotthetasectheta=costheta/sintheta1/costheta=1/sintheta=csctheta$

Answer 2 · 2017-03-30T05:42:45

$cotthetasectheta=csctheta$

As $cottheta=costhea/sintheta$ and $sectheta=1/costheta$

$cotthetasectheta=costheta/sinthetaxx1/costheta$

$=cancelcostheta/sinthetaxx1/cancelcostheta$

= $1/sintheta$

= $csctheta$

How do you use the fundamental identities to simplify cotthetasecthetacotthetasectheta?