Originally Posted by

**chrozer** Acceleration due to gravity, "g", is considered to be $\displaystyle 9.8 \frac {m}{s^2}$. However, changes in latitude alter "g" according to the following model:

$\displaystyle g \approx 9.78049(1+.005288\sin^2{\theta} - .000006\sin^2{2\theta})\frac {m}{s^2}$.

a) Rewrite "g" in terms of power $\displaystyle \sin{\theta}$ only.

**I know some of the trigonometric identities but I keep getting stuck on rewriting it in terms or **$\displaystyle \sin{\theta}$**. Help?**

b) Find the latitude of Denver, Colorado and determite "g".

**I'll be able to do this once I finish part (a).**

(c) Find the percent change between the value calculated in part (b) above and the standard value of 9.8.

**I'll be able to do this once I finish part (a) and (b).**