If anyone can help me with these two questions I would appreciate it. Thank you!

**Trig. question:**
"The expression $\displaystyle [2cos(theta)/sin2(theta)]$ is equivalent to...?

Choices:

(1) [csc theta]

(2) [sec theta]

(3) [cot theta]

(4) [sin theta]

**Work done so far:**
$\displaystyle [Cos2 theta/Sin2 theta] = [1-sin^2 theta/1-cos^2 theta] $

...where to go from here?

*Sin Wave Question:*
"A student attaches one end of a rope to a wall at a fixed point 3 feet above the ground, as shown in the accompanying diagram, and moves the other end of the rope up and down, producing a wave described by the equation $\displaystyle y = a sin bx + c$. The range of the rope’s height above the ground is between 1 and 5 feet. The period of the wave is

**$\displaystyle [4(pie symbol)]$**. Write the equation that represents this wave."

**Work done so far:**
Amp.= 3

Freq.= 2

**Range=...5?**
Equation: 3 sin 2x +

**...?**
Side Note: I'm new to using "LaTex"...