CalcNotes0103-page4

CalcNotes0103-page4 - value of 0 By the Quotient ID for cot...

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(Chapter 1: Review) 1.38 • Domain for tan : The “ X ”s on the unit circle below correspond to an undefined slope. Therefore, the corresponding real numbers (i.e., the corresponding angle measures in radians) are excluded from the domain. • Domain for tan and sec : The “ X ”s on the unit circle above also correspond to a cosine value of 0. By the Quotient ID for tan tan ± = sin cos ² ³ ´ µ · and the Reciprocal ID for sec sec = 1 cos ² ³ ´ µ · , we exclude the corresponding radian measures from the domains of both functions. • Domain for cot and csc : The “ X ”s on the unit circle below correspond to a sine
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Unformatted text preview: value of 0. By the Quotient ID for cot cot = cos sin ² ³ ´ µ ¶ · and the Reciprocal ID for csc csc = 1 sin ² ³ ´ µ ¶ · , we exclude the corresponding radian measures from the domains of both functions. • Range for csc and sec : We turn “inside out” the range for both sin and cos, which is ± 1, 1 ² ³ ´ µ . • Range for cot : This is explained by the fact that the range for tan is ± ² , ² ( ) and the Reciprocal ID for cot: cot = 1 tan ² ³ ´ µ ¶ · . Cot is 0 in value when tan is undefined....
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