Question 1079025
Given: cos(2A) = 11/61
Using the trig identity cos(2A) = 1 - 2sin^2(A), we can solve for sin(A)
sin(A) = sqrt(50/122)
cos(2A) can also be written as cos(2A) = cos^2(A) - sin^2(A) -> 11/61 = cos^2(A) - 50/122
This gives cos(A) = sqrt(72/122)
tan(A) = sin(A)/cos(A) = sqrt(50/72)
I will leave it as an exercise to complete the rest.