2. Draw a right triangle with hypotenuse of length 1. Label one of the non-square angles...

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2. Draw a right triangle with hypotenuse of length 1. Label one of the non-square angles 9. Label the side opposite to with sin. Label the side adjacent to with cos. 0 (a) Use the Pythagorean Theorem to show that sin 0 + cos 0 = 1. sin 0 1 (b) Define tan cos cos Use the Pythagorean Theorem to show that sec 0 = tan0 + 1. and sec 0 = 4. (a) What does it mean for a function to be one-to-one? (b) Give three examples of real functions that are one-to-one. Prove your answer. (c) Give three examples of real functions that are not one-to-one. Prove how you know each function is not one-to-one. 5. (a) What kind of function has an inverse? How are inverse functions defined? What is an inverse function? (b) Does the real quadratic function have an inverse on its domain? Explain your answer. What needs to be done in order to define an inverse for this function? (c) Does the real sine function have an inverse on its domain? Why or why not? 2. Draw a right triangle with hypotenuse of length 1. Label one of the non-square angles 9. Label the side opposite to with sin. Label the side adjacent to with cos. 0 (a) Use the Pythagorean Theorem to show that sin 0 + cos 0 = 1. sin 0 1 (b) Define tan cos cos Use the Pythagorean Theorem to show that sec 0 = tan0 + 1. and sec 0 = 4. (a) What does it mean for a function to be one-to-one? (b) Give three examples of real functions that are one-to-one. Prove your answer. (c) Give three examples of real functions that are not one-to-one. Prove how you know each function is not one-to-one. 5. (a) What kind of function has an inverse? How are inverse functions defined? What is an inverse function? (b) Does the real quadratic function have an inverse on its domain? Explain your answer. What needs to be done in order to define an inverse for this function? (c) Does the real sine function have an inverse on its domain? Why or why not?