please do the following problems and show the work

sin A 71. Confirm your result for lim numerically and graphically. 1 - cos # 72. Use your result from the previous exercise to find the limit lim algebraically. You will need to use some conjugations. Recall the following formulas from Trigonometry. Theorem 32 (Sum and Difference Formulas) For any real numbers r and y, the following holds true: (a) sin(x + y) = sin(x) cos(y) + sin(y) cos(r) (b) cos(r ty) = cos(r) cos(y) + sin(r) sin(y) 73. Use the definition of the derivative (and one of the above identities) to find the deriva- tive of sin(r). Use your result to complete Theorem 33. Theorem 33 (Derivative of the Sine) d sin T =