2tan 3Acos3A-tan3A+1=2cos3A
find the angle A
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Answer:
15(or)20
Step-by-step explanation:
Given the equation is 2 tan 3Acos3A-tan3A+1=2cos3A
=>2tan3A cos3A-tan3a+1-2 cos 3A=0
=>tan3A(2cos3A-1)-(2cos3A-1)=0
=>(tan3A-1)(2cos3A-1)=0
=>tan3A=1(or)2cos3A-1=0
(i)when tan 3A=1:
=>tan 3A=1
=>tan 3A=tan 45
=>3A=45
=>A=15
(ii)when 2 cos 3A=1:
=>2 cos 3A=1
=>cos 3A=1/2
=>cos 3A=cos 60
=>3A=60
=>A=20
Therefore,A=15(or)20
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