"Work this one out," said Monica to her colleague. "I drive from my home to the office every morning. At the back of my house is a short, fairly narrow driveway approximately 300 yards long. I drive my car down this driveway in a westerly direction, yet when I stop the car at the end of the driveway it is facing east." "Does the driveway go round in a circle?" asked the colleague.

"No," replied Monica, "it is absolutely straight."

What is the explanation?

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions