Question

If tan 2A =cot (A-18°), where 2A and A - 18° are acute angles, find the value of A

Answer 1

tan2A= cotA (A-18 )
cot (90-2A)=cotA(A-18)
90-2A=A-18
90+18= 3A
108=3A
A= 36

Answer 2

Answer:Tan2a=cot A(A-18) sol=cot (90-2a)=cota(A-18)

90-2a=a-18

90+18=3a

108=3a

A=36

Step-by-step explanation: