Answer
$\sin{\theta} =0.86$
$\cos{\theta} = 0.51$
$\tan{\theta} =1.69$
$\csc{\theta} =1.16$
$\sec{\theta} =1.96$
$\cot{\theta} =0.59 $
Work Step by Step
$\cos{\theta} = 0.51$
$\because \theta \in QI \hspace{20pt} \therefore \sin{\theta}$ is positive.
$\sin{\theta} = \sqrt{1-\cos^2{\theta}} = \sqrt{1-(0.51)^2} \approx 0.86$
$\tan{\theta} = \dfrac{\sin{\theta}}{\cos{\theta}} = \dfrac{0.86}{0.51} \approx 1.69$
$\csc{\theta} = \dfrac{1}{\sin{\theta}} = \dfrac{1}{0.86} \approx 1.16$
$\sec{\theta} = \dfrac{1}{\cos{\theta}} = \dfrac{1}{0.51} \approx 1.96$
$\cot{\theta} = \dfrac{\cos{\theta}}{\sin{\theta}} = \dfrac{0.51}{0.86} \approx 0.59 $
