Physics Alternating Current Level: High School

A chandelier with mass m is attached to the ceiling of a large concert hall by two cables . Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), ceiling directly above the chandelier . Instead , they attached the cable to the ceiling near the walls . Cable 1 has tension T1 and makes an angle of theta 1 with the ceiling . Cable 2 has tension T2 and makes an angle of theta 2 with the ceiling .

Find the expression for T1, the tension in cable 1, that does not depend on T2 .

Express your answer in terms of some or all of the variables m ,theta 1, and theta 2 as well as the magnitude of the acceleration due to gravity g .T1 = ?