SOLUTION: https://gyazo.com/d694fad8862131711ecf3a3fa6c4c86b

Algebra ->  Trigonometry-basics -> SOLUTION: https://gyazo.com/d694fad8862131711ecf3a3fa6c4c86b      Log On


   



Question 1180930: https://gyazo.com/d694fad8862131711ecf3a3fa6c4c86b
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sec%5E2%28x%29%2B3sec%28x%29-15=3
sec%5E2%28x%29%2B3sec%28x%29-15-3=0
sec%5E2%28x%29%2B3sec%28x%29-18=0.............factor
%28sec%28x%29+-+3%29+%28sec%28x%29+%2B+6%29+=+0

solutions:
sec%28x%29+-+3+=+0=>sec%28x%29=+3+
sec%28x%29+%2B+6+=+0=>sec%28x%29=+-6
x=sec%5E-1%283%29
x=2pi+-sec%5E-1%283%29
x=sec%5E-1%28-6%29
x=-sec%5E-1%28-6%29%2B2pi+
sec%5E-1%283%29=1.23095 radians
sec%5E-1%28-6%29=1.73824radians
convert to degrees:
x=1.23095 => x=70.528°
x=2pi+-1.23095=> x=289.472°
x=1.73824=> x=99.59°
x=2pi-1.73824 =>+x=260.4°