Bas ic ic Correlation Reviewer)
Engineering (Trigo
1. What will be the length of the the two two othe otherr side sides s of a right triangle if the opposite side of a 60 degrees angle is 4V cm _____" a. 8cm, 4 cm b. 4 cm, 3 cm c. 2 cm, 1cm d. 4cm, cm 2. !he epres epressio sion n sin16# sin16# sin14# $ cos16# cos14# is e%&i'alent to a. (os )# b. *in 30# c. *in )# d. Cos 2° 3. +f tan a 1-2 and tan /3-, /3-, then the 'al&e of tana $,) is a. - b. - c. - d. 11/ 4. What is the 'al&e of sin 3 if cos p 3-5 a. sec ! " !.8 b. sine0.2 c. cot 00. d. tan2. . 7 cent centra rall angl angle e of 4 degrees s&btends an arc of 12 cm. What is the radi&s of the circle5 a. 12.) cm #. 1$.82 cm c. 12.)2 cm d. 1.2) cm 6. !he eact radian meas&re of 1)0o is a. % b. 38 c. 48 d. 28 . *ol'e for b9 logarithm, log 2 / log 2- .). a. 1)6))) b. 136)320
c. 1$2!$& d. 136)32
). +f arctan $ arctan arctan 1-3 8 -4, the 'al&e 'al&e of is ______. a. ' b. 1- c. 1-3 d. : . 7 road is tangen tangentt to a circ&lar la;e. 7long the road and 12 miles from the point of tangenc9, tangenc9, another road open opens s towar towards ds the the la;e la;e..
d. 1*.! cm2 13. !hree times the sine of a certain angle is twice of the s%&are of the cosine of the same same angle. angle.
1 . . > ne ne le g o f a r ig ig ht ht triang triangle le is 20 cm and the h9poten&se is 10 cm longer than the other leg.
1. *hip "7" started sailing ? 40o 32@ A at the rate of 3 mph. 7fter 2 ho&rs, ship "B" started from the same port soing * 4 o 1)@ A at the rate of 4 mph. 7fter how man9 ho&rs wil the second ship be eactl9 so&th of ship "7"5 a. 4.* ors b. 2.3 ho&rs c. .3 ho&rs d. 3.3 ho&rs 20. !wo speedboats sim<aneo& sim<aneo&sl9 sl9 sailed sailed o&t from from port port 7 on a 10 ;m radi&s radi&s circle circle la;e towards point B directl9 opposite of port 7. !he =rst boat too; the the shor shorte test st ro&t ro&te e and and reached the destination in 1 ho&r. !he boat has to pass b9 port ( before proceeding to port B. 7t what speed will it r&n in order to arri'e at port B at the same time with the =rst boat5 a. ).) ;ph b. 6.) ;ph c. 34. ;ph d. 2.*2 3
21. !he reference angle of 0 210# is a. 1# b. 4# c. 60# d. *!° 22. +f 7 is in the +++ %&adrant and cos 7 /1-1, =nd the 'al&e of cos 1-27. a. /2-11-2 b. /)-11-2 c. /-11-2 d. 0(1/1)1/2 23. !he angle that is s&pple s&pplemen mentar tar9 9 to 4o 1@ 2" is a. 4.2o #. 44.4*o c. 134.4 o d. 44o 4@
24. +f o $ 0.40 arc tan cot 0.2, =nd . a. 30o b. 10o c. 2!o d. 40o 2. +f 7 $ B $ ( 1)0 o and tan 7 $ tan B $ tan ( .6, =nd the 'al&e of tan 7 tan B tan (. a. 1.) #. $.& c. 1.) d. 6. 26. !he angle of ele'ation of the top point C of a tower 7 is 23o30@. 30@.
d eg eg re re e
a. 4o #. !o c. 1)0o d. 14o 32. *ol'e for E if csc 11E / 16o sec E $ 26 o. a. $ degrees b. 6 degrees c. 4 degrees d. degrees 33. 7 ladder m long leans a ga in st t he w al l o f a n apartment ho&se forming an angle of 0 degrees, 32 min&tes with the gro&nd. Fow high od the wall does it reach5 a. 3.12 m b. 2.00 m c. 12.66 m d. *.8& m 34. 7 reg&lar dodecagon is inscribed in a circle of radi&s 24.
#. $$ degrees and *2 mintes c. 3 degrees and 40 min&tes d . 4 d eg re es a nd 3 0 min&tes
3). !he terminal side of the angle H 00 o in standard position is in %&adrant. a. +++ b. +V c. 5 d. ++ 3. Cetermine the period of the c&r'e 9 sin1-2 a. 40o b. 360o c. 00o d. 2!o 40. *ol'e for in the gi'en e%&ationI arc tan $1 $arc tan / 1 arc tan 12. a. 1. b. 1.2 c. 1.*4 d. 1.2 41. !wo towers 7B and (C are of e%&al height. 7t a point between them in the line 7( Joining their bases, the angle of ele'ation of the nearer tower was obser'ed to be 60 o. !hen at 24 m from the same point in a direction perpendic&lar to 7(, the angle of ele'ation of the top of the towers are 4o for the nearer tower and 30o for the other.
43. Which of the following is a co terminal angle of H 26o5 a. 6$o b. 61o c. )o d. 6o 44. !he terminal side of 0 if cote K 0 and sec K0 is in %&adrant a. +++ #. 5 c. ++ d. +V 4. Ei'enI cos B tan B / sin B - cos B. *ol'e for if B C4 degrees. a. 0. b. 0. c. 0.)66 d. ! 46. !he perimeter of an isosceles right triangle is 6.6)24. +ts area is a. L b. 4 c. 2 d. 1 4. *implif9I 4 cos 9 sin 9 1 / 2 sin 29 a. sec 49 b. tan 49 c. cos 49 d. sin 47 4). !he angle of ele'ation of the top of the tower 7 from the foot of tower B is twice the angle of ele'ation of the top of tower B from the foot o f to we r 7 . 7t a p oin t midwa9 between the two t ow er s, t he a ng le s o f ele'ations of the top of the towers are complimetar9. +f the two towers are 120 m apart, what are the heights of the towers5 a. 30 m and 0 m b. 30 m and 40 m c. 2 m and 3 m d. 4! m and ! m
4.
a. tan B cos B b. tan B $ cos B c. 2 sin B cos B d. 2 tan B 6. 7 4 0 m h ig h t ow er s tan ds ' er ti ca ll9 on a hillside sloping gro&nd which ma;es an angle of 1) o with the horiDontal. 7 tree also stands 'erticall9 &p the hill from the tower. 7n obser'er on top of the tower =nds the angle of depression of the top of the t re e t o b e 2 6o and the bottom of the tree to be 3) o.
a. 2)0.) m b. 1002.33 m c. 130.0 m d. *!!2.** m 60. 14 degrees e%&i'alent to _____ mils. a. 2044 b. 2)4
c. 3421 d. *!4
is
61. Which of the following is arccosn5 a. :;
62. 7 c9clic %&adrilateral has the sides 7B ) cmP and (C 12 cm. !he fo&rth side C7 forms the diameter of the circle.
c. 6.) s%. cm d. *1&.&8 s. cm 63. +f tan 2 m, =nd the 'al&e of tan tan 1 / tan 11 - 1 $ tan 11 tan 1. ?oteI all angles are in degrees. a. m2 $ 1 - 2m
b. m2 $ 1 c. (1 0 m2) / 2m d. m2 / 1 - 2m
