Question

2 cos 3 x = 1 , find x.

Answer 1

$2 \cos3x = 1 \\ = \cos3x = \frac{1}{2} \\ = \cos3x = \cos60 degree \\ x = \frac{60}{3} \\ = x = 20.... \\ x = 20 \: degree \: is \: the \: answer$

Answer 2

⭐Hey there!!

◆Given that:

=> 2cos3x = 1

=> cos3x = 1/2

=> cos3x = cosπ/3

=> 3x = π/3

=> x = π/9

Therefore , general solution is :

◆ x = {2nπ + π/9}

As we know that cosx repeats its value after 2π interval.


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⭐Hope it will help you