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Honors Trigonometry Review: Sec. 2A-2.3 Name Date Part I. No calculators may be used for this part. 1. Determine the sin 0, cos 0 tan 0 for the .3 esponding to the poin 4,-215) C 26 2 If sec() and — < 8 < 2 7, then find csc 0 us ng trigonometric identities. 4 3. Given: COt 8= —4^ a IL ; SIn et 4Nrjand csc 0 < 0 , find sec 0 us ng trigonometric identities. 3 ickn F C-3 ) 1 — 1- 3 4-an9 S e_c_ 4. If cot 8= --\fi and cos 0 < 0 , find sin 0 by drawing a triangle in the appropriate quadrant. n 5. If sin 0 = -- and cot 9 > 0 , find tan 0 by drawing a triangle in the appropriate 9 quadrant. xL (31 )( X Li. '7 'g fir!: For problems 6-11, determine the exact value of the trig. function. 6. tan 450° -3 cid' 0 10 Ondectyw). ?0 . 7. sec ( 197r 6 ■ 8. 14. sin 0. 17z4 cos — +cos 6 ( 117t 4 57r \ 6 tan 210° – tan135° 1+ tan 210°tan135° A- a Part II. Calculators are permitted for this part. Round all answers to three decimal places unless othenvise noted. For problems 11 & 12, a) sketch the angle in the appropriate quadrant, and b) convert the angle to degrees/radians. When converting to radian measure, give the answer in terms of pi and as a decimal. When converting the answer to degrees, write your answer as a decimal as well as in DMS. 11. 2.364 12. -780° ck) For problems 13 & 14, evaluate each trigonometric function. 14. sec543° 13. tan (-43°32'8") --C.,s3sSLk Ed 0, c150 -1 00 Solve each application problem. 15. The displacement from equilibrium of an oscillating weight suspended by a spring is y(t) = 4 cos(6t) where y is the displacement in feet and t is the time in seconds. Find the displacement when (a) t = 0, (b) t = s ( 6 , 0). c 0s 1 (c) 4 1 2 16. A company that produces a seasonal product forecasts monthly sales over the next 7z-t two years to be S = 23.1+ 0.442t + 4.3 sin whe e s measured in thousands of units 6 and t is the time in months with t =- 1 representing January 2011. Predict the sales for the following months. (a) September 2011 (b) February 2012 o.1-11-ta(N) 17. The centerline of a highway curve is an arc of a circle with radius 650m. If the central angle is 34.6° , find the length of the curve to the nearest meter. 0 e 3 Li 8. A Water has a radius , when . , of 12 feet. he wheel is rotating at 20 revo tions per minute:"T4nd the linear speed, in miles er hour, ofhe water. CS ..`a cyp ce2,1 r- 19. The circular blade on a saw has a diam rpm. (a) Find the angular speed saw teeth in miles per hour.-- ,i5 Cr\ Q 400 7.5 inches and the blade rotates afT er second. (b) Find the speed of the 4,3 s""N