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Evaluate: [(4 sin 30°, 2 cos 60°),(sin 90°, 2 cos 0°)] [(4, 5),(5, 4)] - Mathematics

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Question

Evaluate:

`[(4 sin 30°, 2 cos 60°),(sin 90°, 2 cos 0°)] [(4, 5),(5, 4)]`

Evaluate
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Solution

`[(4 sin 30°, 2 cos 60°),(sin 90°, 2 cos 0°)] [(4, 5),(5, 4)]`

= `[(4 xx 1/2, 2 xx 1/2),(1, 2xx 1)] [(4,5),(5,4)]`

= `[(2, 1),(1, 2)][(4, 5),(5, 4)]`

= `[(2 xx 4 + 1 xx 5, 2 xx 5 + 1 xx 4),(1 xx 4 + 2 xx 5, 1 xx 5 + 2 xx 4)]`

= `[(8 + 5,10 + 4),(4 + 10, 5 + 8)]`

= `[(13, 14),(14, 13)]`

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Chapter 8: Matrices - Exercise 8C [Page 164]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 8 Matrices
Exercise 8C | Q 5. | Page 164
Nootan Mathematics [English] Class 10 ICSE
Chapter 8 Matrices
CHAPTER TEST | Q 7. | Page 170
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