Verify the identity algebraically.

Question

Use the table feature of a graphing utility to check your result numerically. (Simplify at each step.)

6/tan(x) + 6/cot(x) = 6 tan(x) + 6 cot(x)

Answer 1

left side

6/tanx + 6/cotx

= 6cotx + 6tanx = right side,

since tanx= 1/cotx

Answer 2

(6 / tan x) + (6 / cot x)

tan x = 1 / cot x

cot x = 1 / tan x

(6 / (1 / cot x)) + (6 / (1 / tan x))

6 cot x + 6 tan x

Q.E.D.