If cos⁴α - sin⁴α = $$\frac{5}{6}$$ then the value of 2cos²α - 1 = . . . . . . . .

A. $$\frac{6}{{11}}$$

B. $$\frac{5}{6}$$

C. $$\frac{6}{5}$$

D. $$\frac{{11}}{6}$$

Answer: Option B

Solution(By Examveda Team)

cos⁴α - sin⁴α = $$\frac{5}{6}$$
(cos²α + sin²α)(cos²α - sin²α) = $$\frac{5}{6}$$
1 × (cos²α - 1 + cos²α) = $$\frac{5}{6}$$
2cos²α - 1 = $$\frac{5}{6}$$