Question

if 2 Sin 2 theta equal to root 3 then the value of theta is​

Answer 1

Answer:

the value of theta is 30 °.

Answer 2

Given:

A trigonometric expression 2Sin(2theta) = √3.

To Find:

The value of theta from the above expression.

Solution:

The given problem can be solved using the concepts of trigonometry.

1. The given expression is 2Sin(2theta) = √3.

2. The above expression can also be written as,

=> Sin(2Theta) = (√3/2), ( Transferring 2 from LHS to RHS),

=> The value of x for which Sinx =  (√3/2),

=> x = $Sin^{-1}$(√3/2),

=> x = 60°.

=> Sin(2Theta) = Sin(60°),

3. The trigonometric functions on both sides are equal, hence the angles can be equalized.

=> 2Theta = 60°,

=> Theta = 60°/2,

=> Theta = 30°.

Therefore, the value of Theta is 30°.