if √3 tan2theta -3 = 0 then find the value of cos theta.
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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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Step-by-step explanation:
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