Solve the equation \( 2 \cos 2\left(x+30^{\circ}\right)=1 \) for \( 0^{\circ} \leq x \leq 360^{\circ} \)

\( \left. \begin{array} { l } { - \csc x , ( 1 - 2 \sin ( x ) } \\ { 3 \cos ^ { 2 } x - 3 = 3 \cos x } \end{array} \right. \)

\( \cot 60^{\circ}=\square \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.

\( \tan ^ { 2 } x < 1 \)

\( 1 - \frac { \cos ^ { \gamma } x } { 1 + \sin x } = \sin x \)

Given that \( \tan \phi=4 \), find the other trigonometric functions. \( \sin \phi=\frac{4 \sqrt{17}}{17} \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expressi \( \cos \phi=\frac{\sqrt{17}}{17} \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expressi \( \cot \phi=\frac{1}{4} \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expressic csc \( \phi=\frac{\sqrt{17}}{4} \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expressio sec \( \phi=\square \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expressio