Several questions about trigonometry and functions

Several questions about trigonometry and functions



Any help on any of these questions is appreciated. I am studying for my

finals and I couldn't do these questions. Please help.

Prove that $(\sin(x))^2-6\sin(x)-5=0$ has more than one solution for $x$.

Give a convincing argument that $\sin (2\cdot 3\pi/5) \neq

2\cdot\sin(3\pi/5)$

An arithmetic sequence consists of measures of the positive angles

coterminal with $3\pi/5$. If $3\pi/5$ is the first term, give a formula

for the entire sequence.

Determine the domain of the function $f$ defined as $f(x) =\sqrt{(3\pi

/5)-x}$

Give a convincing argument that the function $f$ is as $f(x)=3^x$ is

invariant to the transformation of $(1/3)f(x+1)$

If the point $(3,4)$ is on the graph of $y=h(x)$, what point will be on

the graph of $y=h(-x)+5$?