How do you find the exact value of $sintheta=csctheta$ in the interval $0<=theta<360$ ?

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Answer 1 · 2017-01-24T16:45:23

$theta=90^0 and 270^0$

$sintheta=csctheta$
$sintheta=1/sintheta$

$sintheta^2=1$
$sintheta^2-1=0$

$(sintheta+1)(sintheta-1)=0$

$sintheta=-1$ , $theta=sin^-1(-1)$
$theta=270^0$

$sintheta=1$ , $theta=sin^-1(1)$
$theta=90^0$

How do you find the exact value of sintheta=cscthetasintheta=csctheta in the interval 0<=theta<3600<=theta<360?