If sec 4A = cosec (A - 20[degree]), where 4A is an acute angle, find the value of A - Maths - Introduction to Trigonometry

Question

If sec 4A = cosec (A -
20[degree]) , where 4A is an acute
angle, find the value of A

Duke Biswass · Accepted Answer

sec4A = cosec(A-20)
sec4A = sec(90-(A-20)) [sec(90-x) = cosecx]
sec4A = sex(110-A)
4A = 110-A
5A = 110
A = 22

If sec 4A = cosec (A - 20[degree]) , where 4A is an acute angle, find the value of A.