1.

If √3 tan2theta -3 = 0 then find the value of cos theta.​

Answer»

Step-by-step explanation:

Given:-

√3 tan2theta -3 = 0

To find:-

Find the value of COS THETA ?

Solution:-

Given EQUATION is √3 tan 2θ - 3 = 0

=>√3 tan 2θ = 3

=>tan 2θ = 3/√3

=>tan 2θ = (√3×√3)/√3

=>tan 2θ = √3

We know that tan 60° = √3

=>tan 2θ = tan 60°

=>2θ = 60°

=>θ = 60°/2

=>θ = 30°

The value of θ = 30°

Now The value of Cos θ = Cos30° = √3/2

Answer:-

The value of Cos θ for the given problem is √3/2

Used formulae:-

  • tan 60° = √3

  • Cos30° = √3/2


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