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Question
Compute the following:
`[(cos^2x, sin^2 x),(sin^2 x ,cos^2 x)]+[(sin^2 x, cos^2 x), (cos^2 x, sin^2 x)]`
Solution
`[(cos^2x, sin^2 x),(sin^2 x ,cos^2 x)] + [(sin^2 x, cos^2 x), (cos^2 x, sin^2 x)]`
`=[(cos^2x+ sin^2 x, sin^2 +cos^2 x), (sin^2 x + cos^2 x, cos^2 x + sin^2 x )]`
`=[(1,1),(1,1)]` [∵ `sin^2 x + cos^2 x = 1`]
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