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On canceling (+sin2αsin2β) and (−sin2αsin2β),
:⟹2sin
2
β−(2sin
2
α)(2sin
2
β)+cos2αcos2β
We know that,
:↪2sin
2
θ=1−cos2θ
So,
:⟹(2sin
2
β)−(2sin
2
α)(2sin
2
β)+cos2αcos2β
:⟹(1−cos2β)−(1−cos2α)(1−cos2β)+cos2αcos2β
:⟹1−cos2β−(1−cos2β−cos2α+cos2αcos2β)+cos2αcos2β
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