5.3 Solving a Trigonometric Equation In Exercises 27-32, solve the equation. 27. $$ \sin x = \sqrt { 3 } - \sin x $$ 29. $$ 3 \sqrt { 3 } an u = 3 $$ 31. $$ 3 \csc ^ { 2 } x = 4$$

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5.3 Solving a Trigonometric Equation In Exercises 27-32, solve the equation. 27. $$ \sin x = \sqrt { 3 } - \sin x $$ 29. $$ 3 \sqrt { 3 } 	an u = 3 $$ 31. $$ 3 \csc ^ { 2 } x = 4$$

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27)$$\left[ \begin{array} { l c } { Radians:  } & { x = \frac { \pi } { 3 } + 2 \pi n , x = \frac { 2 \pi } { 3 } + 2 \pi n } \ { Degrees:  } & { x = 60 ^ { \circ } + 360 ^ { \circ } n , x = 120 ^ { \circ } + 360 ^ { \circ } n } \end{array} ight]$$ 29)$$\left[ \begin{array} { c c } { Radians:  } & { u = \frac { \pi } { 6 } + \pi n } \ { Degrees:  } & { u = 30 ^ { \circ } + 180 ^ { \circ } n } \end{array} ight]$$ 31)$$x = \frac { \pi } { 3 } + 2 \pi n , x = \frac { 2 \pi } { 3 } + 2 \pi n , x = \frac { 4 \pi } { 3 } + 2 \pi n , x = \frac { 5 \pi } { 3 } + 2 \pi n$$(Degrees: $$ \quad x = 60 ^ { \circ } + 360 ^ { \circ } n , x = 120 ^ { \circ } + 360 ^ { \circ } n , x = 240 ^ { \circ } + 360 ^ { \circ } n , x = 300 ^ { \circ } + 360 ^ { \circ } n )$$

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5.3 Solving a Trigonometric Equation In Exercises 27-32, solve the equation. 27. \( \sin x = \sqrt { 3 } - \sin x \) 29. \( 3 \sqrt { 3 } \tan u = 3 \) 31. \( 3 \csc ^ { 2 } x = 4\)

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