Question

If 3 tan square theta - 1 = 0 , find cos 2 theta given that theta is acute

Answer 1

Step-by-step explanation:

Hope it will help you to understand

Answer 2

The value of Cos2θ=1/2

Given:

3tanθ - 1 = 0,θ is an acute angle.

To Find:

The value of cos2θ

Solution:

3tan²θ-1 = 0

3tan²θ = 1

tan²θ = 1/3

tanθ = 1/√3

We know that,

tan30°=1/√3

tanθ =tan30°

⇒θ = 30°

30° is less than 90°

∴ θ is an acute angle

cos2θ= cos(2*30)

=cos60°

=1/2

Therefore, The value of Cos2θ=1/2

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