Practicing Success
If cos B , sin B, cot B are in geometric progression, then the value of tan6B - tan2 B is? |
1 -1 0 2 |
1 |
A, B, C are in g. p. ⇒ B2 = AC sin2 B = cos B × cot B = cos B × \(\frac{cos B}{sin B}\) sin3 B = cos2 B divide both side by cos3 B tan3 B = sec B (tan3 B)2 = sec2 B tan6 B = 1 + tan2 B tan6 B - tan2 B = 1 |