Answer:
csc 2 (csc [tex]\frac{5\pi}{6}[/tex] = csc 150 = csc 30 = csc 2)
Step-by-step explanation:
csc [tex]\frac{5\pi}{6}[/tex] is in the 2nd Quadrant where only sin, and csc are positive.
csc [tex](\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})[/tex]
but csc [tex]\frac{5\pi}{6}[/tex] = [tex]\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2[/tex]
