Trigonometry Questions and Answers

Solve the equation over the interval 0 2TT 2cot x csc X 5n KIM RI RIG FIN 3 3 117 6

Find the exact value for the expression under the given conditions 5 cos a B sin a 13 for a in Quadrant IV for a in Quadrant IV 24 5 21 65 24 5 21 65 10 12 21 65 10 12 21 65 cos cos 2 B 5 for in Quadrant II

Identify the statement that follows directly from the given condition about x The graph of y cos x has a relative minimum at X The graph of y csc x has a relative minimum at x The graph of y sec x has a relative maximum at x The graph of y csc x has a relative maximum at x The graph of y sec x has a relative minimum at x

Use a calculator to approximate the degree measure to 1 decimal place of the angle 0 subject to the given conditions 2 tan 0 and 0 0 90 33 7 213 7 56 3 123 7

Find the exact value Cos tan COS 0 0 NE WHO NG NET 3 3 3

Find the exact value of the expression without the use of a calculator cos 45 cot 60 06 O 516 65 O 6 6

QUESTION 9 A point is given on the terminal side of an angle drawn in standard position Find the values of the six trigonometric functions of 0 5 12 sin 8 cos 0 sec 8 tan 0 cot 0 sin 0 12 13 csc 8 cos 5 13 tan e 12 5 13 12 13 5 5 12 13 12 5 13 12 5 12

Find the values of the trigonometric functions from the given information Given sin and tan 0 find cos and cot 0 5 13 cos cos cos 0 cos e 5 cot 0 1 2 5 13 cot e 5 13 8 cot 0 5 13 cot 5 12 5 12 5 12

Find sin sin cos 4 and tan sin x sin cos tan 25 n from the given information 0 x 90

28 A cable on a bridge is connected from the top peak of the bridge to an entrance point The entrance point is 45 meters south and 21 meters east o the peak What is the bearing of the cable from the top of its peak A S 38 E B S 13 E C S 25 E D S 65 E

18 Find the value of tan 32 24 to four places A 6 328 B 0 6672 C 0 6346 D 0 6458

Find 40 cm 48 cm 42 cm 14 Figure is not drawn to scale

1 If cos 0 3 then what is sin 0 A 13 5 B 12 13 C 5 13 D 5 12 OA C D

3 If sin 0 then what is cos 90 0 A 4 5 B 3 4 C 5 4 D 4 3 03 a Ob O c Od

Astronomical measurements are often made by computing the small angle formed by the extremities of a distant object and using the arc length to approximate the chord In the picture below the full moon is shown to form an angle of when the distance indicated is 248 000 miles Estimate the diameter of the moon using this method Round your answer to two decimal places 2 x mi Additional Materials 248 000 miles 1 20 earth moon

Sketch an angle 0 in standard position such that the angle Rationalize denominators if applicable Choose the correct graph below O A has the least possible positive measure and the point 0 3 is on the terminal side of 0 Then find the values of the six trigonometric functions for Do not use a calculator OB Ay SI Q Q O C Ay Q

1 0 sin 30 sin 45 0 1 sin 60 a x 0 1 P x y 12 Based on your knowledge of special right triangles fill in the chart below y 1 0 cos 30 cos 45 cos 60 tan 30 tan 45 tan 60

18 John is flying a kite a feet of string He is feet above the groun with the horizontal

2 Fill in the blanks below to correctly set up the equation used to find h 5 5 ft 23 30 ft 3 What is the value of h to the nearest hundredth 4 What is the actual height of the flagpole h different strategies 5 5 ft

5 Explain how Carlos will use special triangles to find the height of the flagpole 5 ft h 45 13 ft 45

21 Fill in the blanks to find the values of the acute angles in the triangle 62 m B sin 17 0 17 m c COS 28 8 42 15 B 17 8 C 15 A

Answer the following questions Show all the work necessary to solve the problem Write neatly and clearly mark your answer Radicals should be simplified when possible but you do not have to rationalize denominators This assignment is worth 20 points 1 With the given information use identities to find the exact value of the requested trigonometric function Do not use coordinates x y r 4 points each a If sin 0 and 0 terminates in Q2 find cose and tan 8

15 Use the general slicing method to find the volume of the solid whose base is the trapezoid with vertices 0 2 0 2 1 1 and 1 1 in the xy plane and whose cross sections perpendicular to the base and parallel to the y axis are equilateral triangles See figure to the right Y

Give an expression that generates all angles coterminal with the given angle 420 The correct expression is 420 Type an equation using n as the variable

65 Height of a flagpole A flagpole is supported by a 30 foot tension wire attached to the flagpole and to a stake in the ground If the ground is flat and the angle the wire makes with the ground is 30 how high up the flagpole is the wire attached 66 Flying a kite A girl is holding a kite string at a height of 5 feet while flying the kite How long must the string be for her to raise the kite 200 feet above the ground if the string makes a 30 angle with the horizontal 67 Height of a tree Find the height of a pine tree that casts a 93 foot shadow on the ground if the angle of elevation of the sun is 24 35

A The tower shown in the image is 315 feet tall Make a sketch to show the setup for this problem using similar triangles The variable will be the distancr from the camera to the base of the tower B How far is the person from the base of the tower 3

P x 2 Q x x 2 5 Equate the value of PQ in 2 3 and 2 4 and make cos a B the subject of the formula 2 6 Use the results obtained in 2 5 to show that cos a B cos a cos sina sin 3 3

ework woman purchased a used car for 100 duced price will she have a profit or a

Need Help 1 Points Read it Need Help DETAILS Use the Law of Cosines to determine the indicated side x Assume b 25 and K b C 39 Read It C Watch It B

1 Points DETAILS Use the Law of Sines to find the indicated side x Assume a 15 Round your ar Need Help 37 5 Read It 28 1 a B

4 Points Sketch the triangle A 55 O DETAILS B B 76 c 290 76 55 290 290 55 C O B 290 76

csc 0 2 513 Angles and Accuracy of Trigonometric Functions Measurements of Angle to Nearest Accuracy of Trigonometric Function 1 0 1 or 10 0 01 or 1 2 significant digits 3 significant digits 4 significant digits suits according to the table below Select the correct choice and if necessary fill in the answer box to complete your choice OA 0 Do not include the degree symbol in your answer

16 A 16 foot ladder leans against a building If the angle the ladder makes with the ground is 68 how high up the building does the ladder reach A C 39 6 COA OB 6 0 OD B D 14 8 13 6

BC 20 5 meters set up a trigonometric ratio to solve for AB or d A tan 50 B sin 50 C tan 50 D sin 50 A B 20 5 d d 20 5 d 20 5 20 5 d A B e 50 20 5 meters C

Write the trigonometric expression sin tan 1 u cos 1 v

Question 3 swered Holp BY Let 2 4 and 6 2 4 Find the angle between the vectors in degrees

Question 4 Vector A vector with magnitude 4 points in a direction 55 degrees counterclockwise from the positive x axis Write the vector in component form 0 14 pts 2 296 Give each value accurate to at least 1 decimal place Question Holp NYU

A square matrix is called skew symmetric if A A Complete the following table 49 A H 2 02 1 0 1 4 0 1 3 1 0 5 2 1 0 1 0 2 0 0 AT X 4 0 5 1 0 2 1 2 0 0 4 A 1 4 3 5 Is A skew symmetric skew symmetric not skew symmetric skew symmetric O not skew symmetric skew symmetric not skew symmetric skew symmetric

Help ts DETAILS Help procal identities state that csc 0 Select Watch It Read It sec Select

110 110 10 lov 2 r 4321 you 6543 Im 144 2 16 17 10 tho 123456 Domain Range Domain Range

atch the following function with one of the graphs shown below Recognizing special features of certain types of functions and y x 71 10 10 d 10 10 y 10 10 10 10 10 10 10 y 10 5 10 10

Current Attempt in Progress The controller of Sheridan Production has collected the following monthly expense data for analyzing the cost behavior of electricity costs January February March April May June July August September October November December a Total Electricity Costs Fixed costs 2 370 2 920 3 580 4 530 3 210 4 980 4 150 3 850 5 160 4 240 3 240 6 570 Total Machine Hours S 16 210 Variable cost per machine hour S 390 470 690 470 790 625 530 665 Determine the fixed and variable cost components using the high low method 605 390 810

EVIZI View Policies Current Attempt in Progress Crane Company accumulates the following data conce 21 Miles Driven January February 7 500 Total Cost 7 990 14 115 March 13 510 April Mi Dri 8 8 1

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One of the requirements for trucks and vans is that the gross vehicle weight rating in Texas must be A Less that 8 000 pounds B Between 8 000 and 10 000 pounds C 10 000 pounds or less D Between 10 000 and 12 000 pounds

54 Calculators are permitted on the remaining problems Solve each of the following equations for 8 in the interval 0 90 Show every step Round to the nearest tent 50 sin 0 3874 51 cos 0 7534 52 tan 9 0138 sec 8 3199 53 cot 13 193 55 csc 0 1 0123

Solve 2 2x 4 2x 6 Step 1 4x 8 2x 6 Step 2 2x 8 6 Step 3 2x 2 Step 4 x 1 Which is the first incorrect step in the solution set above Step 1 Step 2 Step 3 2

In Crane s story A Great Mistake what type of character is the babe A a flat character unchanging B a round character complex changing C a minor character least important 51415 LUGUPE Kedal KORE

Help nts of a trigonometric function of 0 depends on the Select in on whi In Quadrant II sin 0 is Select In Quadrant III cos 0 is Select In Quadrant IV tan 0 is Gelect Help Read It DETAILS AUS

acute angle 2 Read M DETAILS Watch it triangle is 6 cm fong and 2 5 tall Use these measureme