Mathematics, 02.10.2019 02:00 stevend0599
Find all solutions of the equation in the interval [0, 2π). (enter your answers as a comma-separated list. if there is no solution, enter no solution.)
4 sec2 x + 2 tan2 x − 6 = 0
Answers: 2
![\bf 1+tan^2(\theta)=sec^2(\theta)\\\\ -------------------------------\\\\ 4sec^2(x)+2tan^2(x)-6=0\implies 4[1+tan^2(x)]+2tan^2(x)=6 \\\\\\ 4+4tan^2(x)+2tan^2(x)=6\implies 6tan^2(x)=2\implies tan^2(x)=\cfrac{1}{3}](/tpl/images/0281/6023/f718b.png)
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Find all solutions of the equation in the interval [0, 2π). (enter your answers as a comma-separated...
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