Use a calculator to evaluate tan 9 pi6 Round the answer to f

Use a calculator to evaluate tan (9 pi/6). Round the answer to four decimal places. Use the unit circle to find all the exact values of theta that make the equation true in the indicated interval, (a) sin theta = 0, 0 lessthanorequalto theta lessthanorequalto 4pi.(b)sec theta = 2 Squareroot 3/3, 0 lessthanorequalto lessthanorequalto 2 pi. the average daily temperature in Peoria, Illinois, can be predicted by the formula T = 50 - 28 cos [2 pi(x - 31)/365], where x is the number of the day in the year. (January 1 = 1, February = 32, etc.) and is in degree Fahrenheit. What is the expected temperature on Feb 15?

Solution

4.tan(9pi/6) = tan(3pi/2) = tan(pi +pi/2) =not defined

5. Sin theta =0

Theta=0 , pi,2pi,3pi,4pi

Sec theta=2sqrt3/3

Theta=pi/6 , 11pi/6