Math, asked by shreya102205, 4 months ago

2tan 3Acos3A-tan3A+1=2cos3A
find the angle A​

Answers

Answered by EnchantedBoy
1

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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