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

1. 2cos3theta=1

=>cos3theta=1/2 => cos3theta = cos60

=>3theta=60 =>theta = 20

2. 2sin2theta=√3

=>sin2theta=√3/2=sin60

=>2theta=60 =>theta = 30

3. √3tantheta-3=0

=>√3tantheta=3 =>tantheta=3/√3=1/√3

=> tantheta=tan30 => theta = 30