How do you use $csc θ = 5$ $csctheta=5$ to find $sin θ$ $sintheta$ ?

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Answer 1 · 2017-01-03T17:07:25

$csc θ = 5$ $csctheta=5$
$\frac{1}{sin θ} = 5$ $1/sintheta=5$
$1 = 5 sin θ$ $1=5sintheta$
$sin θ = \frac{1}{5}$ $sintheta=1/5$

Answer 2 · 2017-01-03T17:07:41

$\frac{1}{5}$ $1/5$

$csc θ = \frac{1}{sin θ}$ $csc theta = 1/(sin theta)$ hence $sin θ = \frac{1}{csc θ}$ $sin theta = 1/csc theta$

Thus if $csc θ$ $csctheta$ is 5, $sin θ$ $sin theta$ would be $\frac{1}{5}$ $1/5$

How do you use cscθ=5csctheta=5 to find sinθsintheta?