Answer
$\sin{\theta} = 0.23$
$\cos{\theta} =0.97$
$\tan{\theta} = 0.24$
$\csc{\theta} = 4.35$
$\sec{\theta} =1.03$
$\cot{\theta} =4.22 $
Work Step by Step
$\sin{\theta} = 0.23$
$\because \theta \in QI \hspace{20pt} \therefore \cos{\theta}$ is positive.
$\cos{\theta} = \sqrt{1-(0.23)^2} \approx 0.97$
$\tan{\theta} = \dfrac{\sin{\theta}}{\cos{\theta}} \approx 0.24$
$\csc{\theta} = \dfrac{1}{\sin{\theta}} = \dfrac{1}{0.23} \approx 4.35$
$\sec{\theta} = \dfrac{1}{\cos{\theta}} = \dfrac{1}{0.97} \approx 1.03$
$\cot{\theta} = \dfrac{\cos{\theta}}{\sin{\theta}}\approx 4.22 $
