JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

x = \sin \left( {\alpha - \beta } \right)\sin \left( {\gamma - \delta } \right),\,\,y = \sin \left( {\beta - \gamma } \right)\sin \left( {\alpha - \delta } \right)

and

z = \sin \left( {\gamma - \alpha } \right)\sin \left( {\beta - \delta } \right),

then

View answer and explanation

Correct option: A

x+y+z=0

Option A (

x+y+z=0

) is correct because when the expressions for x, y, and z are expanded and added, the terms cancel out, resulting in zero.

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