Statement-I      All the trigonometric ratios are positive if the angle is acute.

Statement-II      The values of $\sin \theta$ is lies between 0 and 1 if $\theta$ is acute.

 If the angle is lie between $\text{0}°$ and $\text{90}°$ then it is called an acute angle.

Example : $\sin 30°=\frac{1}{2}$ is positive

$\tan 45°=1$  is positive

$\cot 60°=\frac{1}{\sqrt{3}}$  is positive

Since $\text{θ}$ is acute

If $\text{θ}=\text{30}°\Rightarrow \text{sin30}°\text{=}\frac{1}{2}=0.5$ it is lie between  $0$ and $1$

If $\text{θ}=45°\Rightarrow \text{sin45}°\text{=}\frac{1}{\sqrt{2}}=\frac{1}{4.414}=\frac{1}{\left(\frac{1414}{1000}\right)}=\frac{1000}{1414}$ it is proper fraction

We know that, every proper fraction is always lie between  $0$ and $1$