Find all values of α in degrees to satisfy this equation, round to approximate to the nearest tenth of a degree? csc(α/2)=-2.3

1 Answer
sankarankalyanam
Jun 18, 2018

#color(crimson)(alpha = 51.5^@, " rounded to the nearest tenth of a degree"#

Explanation:

#csc (alpha/2) = 2.3#

#1 / sin (alpha / 2) = 2.3#

#sin (alpha / 2) = 1/ 2.3#

#alpha / 2 = sin ^ (-1) (1/2.3)#

#alpha / 2 = 25.77^@#

#color(crimson)(alpha = 2 * 25.77 = 51.54 = 51.5^@, " rounded to the nearest tenth of a degree"#

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