mac1114_review1

# mac1114_review1 - θ =-9 π 4 7. (a) If sin θ = 3 5 and...

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MAC 1114 / Review for Exam 1 February 10, 2009 1. (a) Convert 5 π 12 radians to degrees (b) Convert - 135 to radians 2. To approximate the speed of the current of a river, a circular paddle wheel with radius 4 feet is lowered into the water. If the current causes the wheel to rotate at a speed of 10 rpm, what is the linear speed, v, of the current? (Remember to state the units of v) 3. If sin θ = 3 4 ﬁnd the values of the remaining 5 trigonometric functions. 4. Find the exact value of (a) sin ± π 6 ² + cos ± π 4 ² (b) csc 2 ± π 4 ² 5. Find the exact value of (a) sec 2 (28 ) - tan 2 (28 ) (b) cos (80 ) sec (80 ) (c) cos (35 ) sin (55 ) + cos (55 ) sin (35 ) 6. Find the angle which lies in [0 , 2 π ] that is coterminal with
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Unformatted text preview: θ =-9 π 4 7. (a) If sin θ = 3 5 and tan θ < 0, ﬁnd the exact value of cos θ (b) If sec θ =-5 4 and tan θ < 0, ﬁnd the exact value of the 5 remaining trig functions. 8. (a) Find the reference angle for θ = 11 π 3 (b) In which quadrant does θ lie? 9. Find the exact value of cos 5 π 6 10. If P = (-√ 7 3 , √ 2 3 ) is the point on the unit circle corresponding to the angle θ , ﬁnd: (a) sin θ (b) tan θ 11. Find the Amplitude, Range, Period, and Phase Shift for y = 1-2 sin ±-2 πx-π 2 ² 12. Given the function y = tan π 3 x . Find the period and vertical asymptotes of this function....
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## This note was uploaded on 12/27/2011 for the course MAC 1114 taught by Professor Gentimis during the Spring '11 term at University of Florida.

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