Question

2 Sin 2 theta is equals to root 3 the value of theta is​

Answer 1

Step-by-step explanation:

Given :-

2 Sin 2θ = √3

To find:-

Find the value of θ ?

Solution:-

Given that:

2 Sin 2θ = √3

=> Sin 2θ = √3/2

We know that

Sin 60° = √3/2

=> Sin 2θ = Sin 60°

=> 2θ = 60°

=> θ = 60°/2

=> θ = 30°

Therefore, θ = 30°

Answer:-

The value of θ for the given problem 30°

Check:-

If θ = 30° then LHS of the given equation

=>2 Sin 2θ

=> 2 Sin (2×30°)

=> 2 Sin 60°

=> 2 × √3/2

=> √3

=> RHS

LHS = RHS is true for θ = 30°

Used formulae:-

• Sin 60° = √3/2