Solve the given equation Enter your answers as a commasepara

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

3 tan + sec² = 5

=____________

Solution

3 tan + sec² = 5

3 tan + 1 + tan² = 5

tan² + 3 tan - 4 = 0

Let tan = y ====> y^2 + 3y - 4 = 0 =======> y = 1, -4

tan = 1 =========> = 45, 225

tan = -4 =========> = -75.96, 104.04