1. Given: an angle 153 degrees in the standard position. a) Draw this angle in the standard position b ) Determine the quadrant in which this angle lies C) Classify this angle as acute, obtuse, right or straight d) Express this angle in radians, round to two decimal places e) Find the length of the arc on a circle of radius 5 inches intercepted by a central angle of 153 degrees How long would it take for a wheel with a 5 inch radius to rotate thru the 153 degrees central angle if its angular speed is 1.2 radians/second g) Calculate linear speed of a point on the outer edge of the wheel in part f). 2. a) The point P(x, y) on the unit circle that corresponds to a real number t is given as Find the value of all trigonometric functions at t. a) Use the unit circle to find the value of the trigonometric function: b ) What is the domain and range of f(x)=sin x c) Use the unit circle to find 4 . (First find a positive angle less than 360 or 2nt that is co-terminal with the given angle) cos / - d) Use even and odd properties of the trigonometric functions to find the exact value of sint= _ N7 e) 4 1, cost = - . Find cott. Ost