Mathematics, 25.08.2019 21:30 samlolomg123
Solve the equation in the interval [0,2π]. if there is more than one solution write them separated by commas.
hint: to solve this problem you will have to use the quadratic formula, inverse trigonometric functions and the symmetry of the unit circle.
(tanx)^2+2tanx−4.76=0
Answers: 1
![\large\begin{array}{l} \textsf{Now, restrict x values to the interval }\mathsf{[0,\,2\pi]:}\\\\ \bullet~~\textsf{For }\mathsf{k=0:}\\\\ \begin{array}{rcl} \mathsf{x=-tan^{-1}(3.4)<0}~~\textsf{(discard)}&~\textsf{ or }~&\mathsf{x=tan^{-1}(1.4)} \end{array}\\\\\\ \boxed{\begin{array}{c}\mathsf{x=tan^{-1}(1.4)} \end{array}}\textsf{ is in the 1}^{\mathsf{st}}\textsf{ quadrant.}\\\\ \mathsf{x\approx 0.95~rad~~(54.46^\circ)} \end{array}](/tpl/images/0197/4752/80e4b.png)
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Solve the equation in the interval [0,2π]. if there is more than one solution write them separated b...
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