If cos(α + β)=4/5 and sin(α − β)=5/13, where 0 ≤ α, β ≤ π/4, then find tan2α.
JEE Trigonometry Alpha Beta Question
Mathematics
Trigonometry
JEE Main
Easy
2025
Question
Options
A) 25/16
B) 56/33
C) 19/12
D) 20/7
Show Correct Answer
B
View Detailed Solution
Using trigonometric identities and angle addition formulas, tan2α = 56/33.