If tan(a/2) = 12/13, then evaluate sin(a)/((cos^2(a/2)-sin^2(a/2))
A. 312/25
B. 25/212
C. 31/25
D. 25/321
Answer: Option A
Solution (By Examveda Team)
sin(a)/((cos^2(a/2)-sin^2(a/2)) = sin(a)/cos(a) = tan(a)∴ tan(a) = 2*tan(a/2) / (1- tan^2(a/2))
∴ tan(a) = 2*(12/13) / (1 - (12/13)^2)
∴ tan(a) = 2*12*13/25 = 312/25
This Question Belongs to User Ask Question >> Miscellaneous
Join The Discussion