\( \begin{array}{cc}\cot \theta=\frac{3}{4} & \text { and } \pi<\theta<\frac{3 \pi}{2} \\ \sin \theta=\quad & \sin (2 \theta)= \\ \operatorname{coc} \theta=\quad & \cos (2 \theta)= \\ \cos \theta= & \tan (2 \theta)= \\ \sec \theta= & \cos \left(\frac{\theta}{2}\right)= \\ \tan \theta= & \tan \left(\frac{\theta}{2}\right)=\end{array} \)

In \( \triangle \mathrm{PQR}, p=4.7 \) inches, \( m \angle \mathrm{P}=76^{\circ} \) and \( m \angle \mathrm{Q}=57^{\circ} \). Find the length of \( q \), to the nearest 10th of an inch.

In \( \triangle \mathrm{EFG}, f=400 \) inches, \( m \angle \mathrm{~F}=94^{\circ} \) and \( m \angle \mathrm{G}=33^{\circ} \). Find the length of \( g \), to the nearest 10th of an inch.

(c) \( \sin (\pi+x)+\cos \left(\frac{\pi}{2}-x\right)+\tan \left(\frac{\pi}{2}+x\right)+\tan \left(\frac{3 \pi}{2}-x\right) \)

In \( \triangle \mathrm{TUV}, u=750 \mathrm{~cm}, m \angle \mathrm{~T}=105^{\circ} \) and \( m \angle \mathrm{U}=42^{\circ} \). Find the length of \( t \), to the nearest centimeter.

In \( \triangle \mathrm{FGH}, f=7.4 \) inches, \( g=1 \) inches and \( h=7 \) inches. Find the measure of \( \angle \mathrm{G} \) to the nearest degree.