bgreaser88223
bgreaser88223 bgreaser88223
  • 23-02-2021
  • Mathematics
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Find the exact value of csc 5pi/6

Respuesta :

oasamoah22
oasamoah22 oasamoah22
  • 23-02-2021

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]

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