The value of the expression √((1- cosθ)(1 + cosθ)) will be sinθ. The correct option is A.
What are trigonometric identities?
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The given expression is √((1- cosθ)(1 + cosθ)). Then solve the expression as below:-
√((1- cosθ)(1 + cosθ)) = √((1- cos²θ))
√((1- cosθ)(1 + cosθ)) = √sin²θ
√((1- cosθ)(1 + cosθ)) = sinθ
Therefore, the value of the expression √((1- cosθ)(1 + cosθ)) will be sinθ. The correct option is A.
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