Trigonometric and Polar Functions

Which equation would have a solution that reflects rotational symmetry around the origin on its graph?

If a roller coaster's path over time can be represented by $f(x) = x^3 - 6x^2 + 9x$, at which values of x does the roller coaster begin to descend again?

For which values of w does $(w^{(-)})^{(+)}((\sec(-)-\csc(-))/(+\sec(-)^{(+)}\csc(-)))$;

What is the solution to the equation $2\sin(x) = \sqrt{2}$ for $0 \leq x < 2\pi$?

Which inequality represents all solutions where cosecant is positive?

If $\cos(\theta) = 1$, what are the possible values of $\theta$?

Which inequality represents an interval where sin(x)>0 for x within [0,2pi]?

If $\sin(x) = \frac{3}{5}$ for $x$ in the interval $[\pi, 2\pi]$, which expression represents the value of $\cos(2x)$?

If $\sin(x) = \cos(x)$ for $0 < x < \frac{\pi}{2}$, what is the value of $\tan(2x)$?

Which equation represents a basic sine function with a period of $\pi$?