Find the value of tan6° . tan16° . tan24° . tan34° . tan45° . tan56° . tan66°. tan74° . tan84° .
Answer & explanation
Correct answer: option 4
⇒ tan6° . tan16° . tan24° . tan34° . tan45° . tan56° . tan66°. tan74° . tan84°
Here, ⇒ (tan A . tan B = 1, when A + B = 90°)
So,
⇒ (tan6° . tan84°) . (tan16° . tan74°) . (tan24° . tan66°) . (tan34° . tan56°) . tan45°
= 1 × 1 × 1 × 1 × 1 = 1