given cot=.675, find sin and sec
$$\\cot\theta=0.675\\\\ \frac{adj}{opp}=\frac{0.675}{1}\\\\ hypotenuse=\sqrt{0.675^2+1}=\sqrt{1.455625}\\\\ sin\theta=\frac{opp}{hyp}=\frac{1}{\sqrt{1.455625}}\\\\ sec\theta=\frac{1}{cos\theta}=\frac{hyp}{adj}=\frac{\sqrt{1.455625}}{0.675}\\\\$$