CHOSHACAO is another mnemonic to remember the reciprocals of the formulas used in SOHCAHTOA. The first part of the CHOSHACAO mnemonic CHO refers to the expression where the cosecant of the angle θ is equal to the length of the hypotenuse divided by the length of the side opposite to the angle. This is the reciprocal of the SOH portion of SOHCAHTOA. The second part of CHOSHACAO SHA refers to the expression where the secant of the angle θ is equal to the length of the hypotenuse divided by the length of the side adjacent to the angle. This is the reciprocal of the CAH portion of SOHCAHTOA. The final part of CHOSHACAO CAO refers to the expression where the cotangent of the angle θ is equal to the length of the side adjacent to the angle divided by the length of the side opposite to the angle. This is the reciprocal of the TOA portion of SOHCAHTOA. Equations that make up CHOSHACAO to solve the angles and sides of right triangles. CHOcsc(θ) = hypotenuse / opposite SHAsec(θ) = hypotenuse / adjacent CAOcot(θ) = adjacent / opposite