Explanation Rewrite the complex number 3 [ cos ( − 3 π 4 ) + i sin ( − 3 π 4 ) ] in the form of a + i b as follows: 3 [ cos ( − 3 π 4 ) + i sin ( − 3 π 4 ) ] = 3 cos ( − 3 π 4 ) + i ( 3 sin ( − 3 π 4 ) ) Compare the expression 3 cos ( − 3 π 4 ) + i ( 3 sin ( − 3 π 4 ) ) with a + i b and obtain the value of a and b as follows. From the above comparison, the value of a = 3 cos ( − 3 π 4 ) and b = 3 sin ( − 3 π 4 )

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Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Chapter 8.3, Problem 30E

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The standard notation of the complex number.

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Chapter 8 Solutions

EBK ALGEBRA AND TRIGONOMETRY

Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

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The standard notation of the complex number .

Solution Summary: The author compares the expression 3(-3pi 4)+imathrmsin

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Chapter 8 Solutions