QUEST HW 8 - roberts (eer474) – HW 08 – windle –...

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Unformatted text preview: roberts (eer474) – HW 08 – windle – (56747) 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Compute the exact value of cos parenleftBig sin- 1 parenleftBig 3 4 parenrightBigparenrightBig . 1. cos parenleftBig sin- 1 parenleftBig 3 4 parenrightBigparenrightBig = 4 5 2. cos parenleftBig sin- 1 parenleftBig 3 4 parenrightBigparenrightBig = √ 7 4 correct 3. cos parenleftBig sin- 1 parenleftBig 3 4 parenrightBigparenrightBig = 3 5 4. cos parenleftBig sin- 1 parenleftBig 3 4 parenrightBigparenrightBig = 3 √ 7 5. cos parenleftBig sin- 1 parenleftBig 3 4 parenrightBigparenrightBig = 4 √ 7 Explanation: By the definition of sin- 1 ( x ), cos parenleftBig sin- 1 parenleftBig 3 4 parenrightBigparenrightBig = cos θ where sin θ = 3 4 and, by Pythagoras, θ is the angle shown in the right triangle θ √ 7 3 4 (not drawn to scale). Consequently, cos parenleftBig sin- 1 parenleftBig...
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This note was uploaded on 11/08/2010 for the course M 305G taught by Professor Léger during the Fall '08 term at University of Texas.

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QUEST HW 8 - roberts (eer474) – HW 08 – windle –...

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