What is $θ$ $theta$ equal to and why?

Question

$csc θ = 1$ $csctheta=1$

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Answer 1 · 2018-07-16T08:57:21

$θ = \frac{π}{2} + 2 n π$ $theta=pi/2 +2npi$ or $θ = \frac{3 π}{2} + 2 n π$ $theta=(3pi)/2+2npi$ where $n$ $n$ is an integer

$csc θ = \frac{1}{sin θ}$ $csctheta=1/sintheta$

Therefore, $csc θ = 1$ $csctheta=1$ becomes
$\frac{1}{sin θ} = 1$ $1/sintheta=1$

$1 = sin θ$ $1=sintheta$

$θ = {sin}^{- 1} 1$ $theta=sin^(-1) 1$

$θ = \frac{π}{2} + 2 n π$ $theta=pi/2 +2npi$ or $θ = \frac{3 π}{2} + 2 n π$ $theta=(3pi)/2+2npi$ where $n$ $n$ is an integer