if tan2 A= cot(A-18°),where 2A is an acute angle, find the value of A
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Given tan2A=cot(A−18
0
)
⇒cot(90−2A)=cot(A−18
0
)[∵tanθ=cot(90−θ)]
Comparing angles we get
90−2A=A−18
⇒90+18=A+2A
⇒3A=108
⇒A=
3
108
⇒A=36
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