# HW7 - ’ s altitude after 1 minute b How long will it take...

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Math 2312 Homework 7 Due: Wednesday, July 14, 2010, at the beginning of class 1. Sketch the graph of the function for one full period: ±²³ ´ µ¶·¸±¹ º » ¼ ³ . 2. Evaluate the following expressions (without the use of a calculator). a. ½¾¿¿ÀÁ ÂÃ Ä . b. ¶ÅÆÇÈ·¸±É³ 3. Find the exact value of the expression. a. µ¶·¸±½¾¿¿ÀÁ Ã Ê ³ b. ÆËµ¸Ì½¾¿ÁÍÎ Ïº ÐÄ ÐÃ ÑÒ 4. Write an algebraic expression that is equivalent to the expressions a. ÇÓÆÌ½¾ÁÍÎ±² º Ô³Ò b. csc(arctan2x) 5. Fill in the blank ½¾¿ÁÍÎ ÂÃÕÖ× Ø Õ ´ ½¾¿ÀÁ±Ù ³Ú Û Ü ² Ü Ý 7. An airplane is 160 miles south and 85 miles west of an airport. The pilot wants to fly directly to the airport. What bearing should be taken? 8. During takeoff, an airplane s angle of ascent is 18 and its speed is 275 feet per second. a) Find the plane

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Unformatted text preview: ’ s altitude after 1 minute. b) How long will it take the plane to climb to an altitude of 10,000 feet? 9. Evaluate all 6 trigonometric functions if 2 1 2 sin cot 10. Simplify using fundamental identities. Show every step. a) 1 cos sin 2 x x b) 1 sec 2 sec 2 4 x x 11. Use the substitution sec 4 x 2 to covert the algebraic function 16 2 x Into a trigonometric function in simplest form. 12. Use fundamental identities to transform the left side of the equation into the right side. Show every step. a) 1 ) cos( cot ) sin( x x x b) x x x x x x sin cos cos sin cot 1 sin sin c) x x x x x x 2 2 4 2 2 2 csc sec cos cos cos sin d) x x x x x sin ) cos (cos cos sin 4 2 2 3...
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HW7 - ’ s altitude after 1 minute b How long will it take...

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