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Evaluate: (4sin 30^@, 2cos 60^@),(Sin 90^@, 2 Cos 0^@)4,5),(5,4) - 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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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 9: Matrices
Exercise 9(D) | Q: 20 | Page no. 132
 2009-2010 (March) (with solutions)
Question 9.1 | 3.00 marks
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Evaluate: (4sin 30^@, 2cos 60^@),(Sin 90^@, 2 Cos 0^@)4,5),(5,4) Concept: Matrices Examples.
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