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The matrix that rotates the x-y plane by an angle is A() = " cos sin sin cos # . Verify

Chapter 1, Problem 1.4.20

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QUESTION:

The matrix that rotates the x-y plane by an angle is A() = " cos sin sin cos # . Verify that A(1)A(2) = A(1+2) from the identities for cos(1+2) and sin(1+ 2). What is A() times A()?

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QUESTION:

The matrix that rotates the x-y plane by an angle is A() = " cos sin sin cos # . Verify that A(1)A(2) = A(1+2) from the identities for cos(1+2) and sin(1+ 2). What is A() times A()?

ANSWER:

Step 1 of 3

Use the formula of trigonometric identities:

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