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प्रश्न
Simplify `cos theta[(cos theta, sintheta),(-sin theta, cos theta)] + sin theta[(sin theta, -cos theta), (cos theta, sin theta)]`
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उत्तर
`cos theta[(cos theta, sin theta),(-sin theta, cos theta)] + sin theta[(sin theta, -cos theta),(cos theta, sin theta)]`
= `[(cos^2 theta, cos theta sin theta),(-sin theta cos theta, cos^2 theta)] + [(sin^2 theta, -sin theta cos theta),(sin theta cos theta, sin^2 theta)]`
= `[(cos^2 theta + sin^2 theta, cos theta sintheta - sin theta cos theta),(-sin theta cos theta + sin theta cos theta, cos^2 theta + sin^2 theta)]`
= `[(1, 0),(0, 1)]` ...(∵ cos2θ + sin2θ = 1)
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