Odgovor:
#rarrcsc (theta / 2) = sqrt26 #
Obrazloženje:
Ovdje, #270^(@)##<## Teta ##<##360^@#
# Rarr135 ^ (@) ##<## Theta / 2 ##<##180^@# To znači # Theta / 2 # je u drugom kvadrantu gdje #sin i csc # su pozitivni.
# Rarrcottheta = -12/5 #
# Rarrtantheta = -5/12 #
# Rarrcostheta = 1 / sectheta = 1 / sqrt (1 + tan ^ 2 theta) = 1 / sqrt (1 + (- 5/12) ^ 2) = 12/13 #
#rarrcsc (theta / 2) = 1 / sin (theta / 2) = 1 / sqrt ((1-costheta) / 2) = 1 / sqrt ((1-12 / 13) / 2) = 1 / sqrt (1 / (26)) = sqrt26 #