Need help with some trigonmetric functions homework.
Can someone please help me with the following problems?
1. An angle measuring 11 degrees has its vertex at the center of a cricle whose radius is 6 feet. Find the length of the subtended arc.
2. Let y=5 cos(4x-pi)-5. Determine the period, domain and range of the function.
3. On December 31, 1995 Paul invested $2,000 in a stock. Since then his stock has gained 20% in every odd numbered month (jan, march and so on) but lost 15% in every even numbered month.
a) Find the value of the stock at the end of each of the first five months in 1996.
b) Write a piecewise defined function f(n) for the value of the stock n months after the original investment, where n is a whole number.
c) Name the first time when the value of the stock at the end of the month is at least twice the original investment.
4. The mean daily temperature in degrees Fahrenheit of a certain city on the xth day of the year is approximated by the function f(x)=64+27 cos(2pi/365(x+145)).
a) find the amplitude of the function.
b) Find the period of the function.
c)find the highest and lowest mean temperature and when they occur.
d) find the average mean daily temperature.