Question

find the value of theta in each of the following: 1. 2cos3theta=1​. , 2. 2sin2theta=√3, 3.√3tan2theta-3=0
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Answer 1

Explanation:

1.) 2 cos (3theta) = 1

=> cos (3theta) = 1/2 => cos (3theta) = cos 60°

=> 3theta = 60° => theta = 20°

2.) 2 sin (2theta) = √3

=> sin (2theta) = √3/2 => sin (2theta) = sin 60°

=> 2theta = 60° => theta = 30°

3.)√3 tan (2theta) - 3 = 0

=> √3 tan (2theta) = 0 + 3 = 3

=> tan (2theta) = 3/√3 => tan (2theta) = √3

=> tan (2theta) = tan 60° => 2theta = 60°

=> theta = 30°