Please help Solve for a exactly with 0 lessthanorequalto a l

Solve for a exactly with 0 lessthanorequalto a lessthanorequalto 2 pi: sec^2 a + 10 tan a = 8 tan a. Enter your answer in increasing order. a = a =

Solution

sec² + 10 tan = 8*tan

1 + tan² + 2*tan = 0

THis is a quadratic equation.

tan = -1 =======> = 3pi/4, 7pi/4

tan = -1 =======> = 3pi/4, 7pi/4