Find the value of tan7° . tan13° . tan27° . tan33° . tan45° . tan57° . tan63°. tan77° . tan83° .

5 1 0 -1

1

⇒ tan7° . tan13° . tan27° . tan33° . tan45° . tan57° . tan63°. tan77° . tan83° Here, ⇒ (tan A . tan B = 1, when A + B = 90°) So, ⇒ (tan7° . tan83°) . (tan13° . tan77°) . (tan27° . tan63°) . (tan33° . tan57°) . tan45° = 1 × 1 × 1 × 1 × 1 = 1