Saved Bookmarks
| 1. |
Value of tan 15 |
|
Answer» Let tan(15°) = tan(45°-30°)We know that tan(A - B) = (tanA - tanB) /(1 + tan A tan B)⇒tan(45°-30°) = (tan45°- tan30°)/(1+tan45°tan30°)= {1- (1/√3)} / {1+(1/√3)}∴ tan15° = (√3 - 1) / (√3 + 1) (√3 - 1)/(√3 + 1) = (4 - 2√3)/2 [Rationalise] = 2 - √3 Root over3-1/root over 3+1 |
|