If sec 4x = csc (x - 20), where 4x is an acute angle, then find the value of x. (All angles are in degrees.)
sec and csc are co-functions
Specificallly
sec ( A) = csc (90 - A)
Note that
(A) + (90 -A) = 90
So....this must mean that
(4x) + (x - 20) = 90
5x - 20 = 90 add 20 to both sides
5x = 110 divide both sides by 5
x = 22°
