April claims that 1 + cos2(0) 1 sin (0) sin (0) is an identity for all real numbers 0 that follows from the Pythagorean identity a. For which values of 0 are the two functions f(0) = 1 + cost(@) sin (0 ) and g (0) = - 1 defined? sin (0) b. Show that the equation 1 + cos (0) 1 follows from the Pythagorean identity. sin (0) sin (0) C. Is April correct? Explain why or why not. d. Write the equation 1 + cosz(0) 1 in terms of other trigonometric functions, and state the resulting sin (0) sin (0) identity. end esbienHad no enol! 203