The value of $sin^{2} α cos^{2} β + cos^{2} α sin^{2} β + sin^{2} α sin^{2} β + cos^{2} α cos^{2} β$ is

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sin^{2} α cos^{2} β + cos^{2} α sin^{2} β + sin^{2} α sin^{2} β + cos^{2} α cos^{2} β

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\Rightarrow (sin^{2} α cos^{2} β + sin^{2} α sin^{2} β) + (cos^{2} α sin^{2} β + cos^{2} α cos^{2} β) = sin^{2} α (co s^{2} β + sin^{2} β) + co s^{2} α (co s^{2} β + sin^{2} β) = sin^{2} α + co s^{2} α = 1

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Question Text	The value of $sin^{2} α cos^{2} β + cos^{2} α sin^{2} β + sin^{2} α sin^{2} β + cos^{2} α cos^{2} β$ is
Answer Type	Text solution:1
Upvotes	150