Can any kind soul help me in the below?
Find z between 0 and 360 degrees which satisfy the equation.
1. sec^2 z = 4 sec z - 3
Answer:
sec^2 z = 4 sec z - 3
sec^2 z - 4 sec z + 3 = 0
(sec z - 3)( sec z - 1) = 0
sec z = 3 or sec z = 1
cos z = 1/3 or cos z = 1
z = 70.5 deg, z = 0, 360 deg(rejected)
cos is positive => so in 1st or 4th quadrant
z = 70.5, 360-70.5
= 70.5, 289.5
My question: why is z = 360 deg rejected?
why is z = 0 deg not rejected?