For A Given Pair Of Values x and y satisfying x = Sin α, y = Sin β, There Are Four Different Values Of z = Sin (α + β) Whose Product Is Equal To

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Question

For a given pair of values x and y satisfying x = sin α, y = sin β, there are four different values of z = sin (α + β) whose product is equal to

easy

Solution

Correct option is

(x² – y²)²

z = sin (α + β) = sin α cos β + cos α cos β

There are four values of z, given by

and their product is equal to

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