\( \sin (\alpha)=\frac{40}{41}, \alpha \) lies in quadrant \( I \), and \( \sin (\beta)=\frac{12}{13}, \beta \) lies in quadrant II.

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

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 \( \triangle \mathrm{IJK}, k=1.9 \) inches, \( m \angle \mathrm{~J}=59^{\circ} \) and \( m \angle \mathrm{~K}=18^{\circ} \). Find the length of \( j \), to the nearest 10 th of an inch.

In \( \triangle X Y Z, x=410 \) inches, \( y=450 \) inches and \( z=210 \) inches. Find the measure of \( \angle X \) to the nearest degree.