00spex1 - mumwmmmm'nm.mumm—mm. _ ,4 ._ , _ , ,,, , r wood...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: mumwmmmm'nm.mumm—mm. _ ,4 ._ , _ , ,,, , r wood - Ros», Math 113 EXAM I, Feb. 21, 2000, (1 hour). N AME: SECTION: To receive credit for an answer, you MUST show work justifying that answer. WHENEVER POSSIBLE, GIVE EXACT VALUES. 1. (15 points) Evaluate (exactly) the cosines, the Sines and the tangents of the angles a and ,6. k o< 5 \ l5 6. cos(a) = , sin(a) = , tan(a) = cosw) = , sinW) = , tan(fl) : Using your calculator, evaluate the angles a and ,8. memmwgm.4 p—I 7 3 i v E i i E ‘3 II. Using you calculator, evaluate a and 13 (length of the sides). KEEP AT LEAST 4 ‘ DIGITS after the decimal point. ’ (10 points) III. Convert 26012’ in radians (keep exact values). (5 points) IV. (25 points) 1) Given that cosa; = ‘?2, show on the figure what are the possible terminal sides for the angle a: (in standard position). 2) If we are given the additional information that tansc > 0, show on the same figure which i must be the terminal side. Still assuming that tans: > 0, evaluate exactly sing: and tan 3:. 3 § § “a William—44"»: M, V. From a point A, one sees the top of a vertical pole at an angle of elevation of 60°. Point B is located 25 ft away from point A, on the other side of the pole, From point B, the top of the pole is seen at an angle of elevation of 42°. Haw far is point A from the base of the pole? (25 points) Method imposed: Solve this problem with the tools of Chapter 1 (Right Triangle Ratios, definitions of sine, cosine etc..). (No solution using the law of Sines or the law of cosines, to be seen in Chapter 6). VI. Given that the radius of the circle is 5 (units), and that the length of the line segment AB is 4, evaluate the length of the are from A to B, and the area of the circular sector with central angle 6. Keep 4 digits beyond decimal point. (20 points) HINT: Evaluate sin(§). Then, using your calculator, determine %. : JihaMWma’flWWWNHWQN‘WW . I V mum- «WM-«r “whom” mm H ...
View Full Document

Page1 / 4

00spex1 - mumwmmmm'nm.mumm—mm. _ ,4 ._ , _ , ,,, , r wood...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online