Question

If sec4A = cosec(A-20), where 4A is an acute angle , find the value of A.

Answer 1

=>Sec4A=Cosec(A-20)
=>Cosec(90-4A)=Cosec(A-20)
DIVIDING BOTH SIDE BY COSEC
=>90-4A=A-20
=>90+20=A+4A
=>110=5A
=>A=110/5
.˙.A=22

Answer 2

Answer:

sec4A = cosec(A-20*)

cosec(90*-4A) = cosec(A-20*)

NOW, 90* - 4A = A -20*

       90*+ 20* = A+ 4A

       110* = 5A

  SO, A = 22*

Step-by-step explanation: