odpoveď:
#rarrcsc (theta / 2) = sqrt26 #
vysvetlenie:
Tu, #270^(@)##<## # Theta#<##360^@#
# Rarr135 ^ (') ##<## Theta / 2 ##<##180^@# To znamená # Theta / 2 # je v druhom kvadrante, kde #sin a csc # sú pozitívne.
# Rarrcottheta = -12/5 #
# Rarrtantheta = -5/12 #
# Rarrcostheta = 1 / sectheta = 1 / sqrt (1 + tan ^ 2Theta) = 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 #
