(Solved): 13. a) On the trigonometric circle, sketch an angle of radians and explain how we obtain the exact ...

13. a) On the trigonometric circle, sketch an angle of radians and explain how we obtain the exact values of sin(), cos(3), tan(3), and sec(). Note: You must draw a large and clear sketch of the trigonometric circle and apply theoretical mathematical ideas to deduce these values, i.e. think of coordinates of terminal points, the way we did in class. The answers should be given in fraction form. Calculator answers are not acceptable on this part of the exam. You must explain your answers in order to receive any credit at all. b) Now, sketch an angle of 2 radians and explain how we obtain the exact values of sin(2), cos(2), tan(2), and sec(2). Note: As before, you must draw a large and clear sketch of the trigonometric circle and apply theoretical mathematical ideas to deduce these values, i.e. think of the connection between an angle of and an angle of 2 in terms of symmetries. Calculator answers are not acceptable here either.