If tan2A=cot(A-18 degree) then find the value of A Where 2A is an acute angle

Anshul Verma's image
Anshul Verma
Feb. 24, 2019, 6:58 a.m.

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Abhishek Sharma's image
Abhishek Sharma
Feb. 24, 2019, 8:34 a.m.
Given, tan2A=cot(A-18degree) -----(i) or tan2A=cot(90-2A) --------(ii) From (i) and (ii),we get cot(A-18degree)=cot(90-2A) or A-18=90-2A or A+2A=90+18 or 3A =108 or A =108/3 or A =36 degree
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