SOLUTION: Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.) 2 tan2(t) = 3 sec(t)

SOLUTION: Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.) 2 tan2(t) = 3 sec(t)

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Question 1128735: Find all exact solutions on
[0, 2π).
(Enter your answers as a comma-separated list.)
2 tan2(t) = 3 sec(t)

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

If we restrict the domain of to [,) then
or

Explanation:

.......factor

solutions:
case 1:
if -> => or assuming [,)
case 2:
if -> BUT, is element of [,] for ; therefore, this case is extraneous and we will disregard it

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