please do the following problems and show the work

Theorem 35 (Derivative of the Tangent) d dr - tan = 77. Recall that cot r = $1. Use the quotient rule to find _ cot r. Simplify completely. Use your result to fill in the conclusion for Theorem 36. Theorem 36 (Derivative of the Cotangent) cot r = 78. Recall that secr = 1. Use the quotient rule to find - secr. Simplify completely. Use your result to fill in the conclusion for Theorem 37. Theorem 37 (Derivative of the Secant) dr Sec T = 79. Recall that cscr = any. Use the quotient rule to find --cscr. Simplify completely. Use your result to fill in the conclusion for Theorem 38. Theorem 38 (Derivative of the Cosecant) d dr CSC T =