Prove the cofunction Identity using the Addition and Subtraction Formulas. Tan (pi/2 - u) = cot (u) Since tan (pi/2) is undefined, use a Reciprocal Identity, and then use the Substitution Formulas to simplify. Tan (pi/2 - u) = sin/cos (pi/2 - u) = (cos (u)) - (cos (pi/2)) (sin (u))/(sod (pi/2)) (cos (u)) + (sin (pi/2)) (sin (u)) = (cos (u)) - (0) (sin (u))/(0) (cos (u)) + (1) (sin (u)) =/sin (u)

Step-by-step explanation:

We are to prove the cofunction Identity using the Addition and Subtraction Formulas.

From trigonometry identity, , starting from right hand side of the equation, the expression above will become;

Substituting this trigonometry identities into equation 1 we will have;

Since cot(u) = 1/tan(u) = cos(u)/sin(u), hence;

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