Question

Use the definitions of the trigonometric ratios for a right triangle to derive a cofunction identity for tan(90° − A).
Show your steps.

Answer 1

is my answer correct

tan(90° − A) = tan B .= b/a = cot A

Answer 2

Since triangle ABC is a right triangle with C = 90, then A + B = 90, and B = 90 - A

Answer 3

so did i answer correctly

Answer 4

tan B = opp/adj = AC/BC
but B = 90 - A, so
tan (90 - A) = tan B
cot A = adj/opp = AC/BC = tan B
tan(90 - A) = cot A

Answer 5

you got it right

Answer 6

o thanks so much