Svar:
#rarrcsc (theta / 2) = sqrt26 #
Forklaring:
Her, #270^(@)##<## Theta ##<##360^@#
# Rarr135 ^ (@) ##<## Theta / 2 ##<##180^@# Det betyr # Theta / 2 # er i andre kvadrant hvor #sin og csc # er positive.
# Rarrcottheta = -12/5 #
# Rarrtantheta = -5/12 #
# Rarrcostheta = 1 / sectheta = 1 / sqrt (1 + tan ^ 2teta) = 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 #
