Question

Find A if tan 2A = cot (A-24°).

Answer 1

Given :

tan 2A = cot (A-24°)

implies that tan 2A = tan [90° - (A -24°)]

implies that tan 2A = tan [90° - A + 24°]

implies that tan 2A = tan [114° - A ]

implies that 2A = 114° - A

implies that 3A = 114°

implies that A = `(114°)/3`

implies that A = 38°