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Evaluate: `[(4sin 30^@, 2cos 60^@),(Sin 90^@, 2 Cos 0^@)][(4,5),(5,4)]` - ICSE Class 10 - Mathematics

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Question

Evaluate:

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

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

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

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Solution Evaluate: `[(4sin 30^@, 2cos 60^@),(Sin 90^@, 2 Cos 0^@)][(4,5),(5,4)]` Concept: Matrices Examples.
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