Trigonometry Questions and Answers

Determine the approximate value of x 5 29 7 46 10 85

Question 5 14 29 points Sine Graphs Given a local minimum occurs at point A 2 1 and a local maximum occurs at point B 5 4 determine the vertical shift of the following Sine graph r 01 1 5 2 2 5 A 2 1 Question 6 14 29 points Sine Graphs B 5 4

Sine Graphs Consider the following Sine graph A local maximum occurs at point A 2 5 and point C 6 5 A local minimum occurs at point B 4 1 Determine the period of the following graph A 2 5 W 8 B 4 1 C 6 5 Question 5 14 29 points Sine Graphs Given a local minimum occurs at point A 2 1 and a local maximum occurs at point B 5 4 determine the vertical shift of the following Sine graph

Question 1 25 points Law of Cosines Determine the approximate length of segement AB D 7 cm 58 7 6 cm 8 2 cm 8 9 cm 9 6 cm A 70 8 cm B

Segments that appear to be tangent are tangent to both circles and CD 32 Find AC

Unit test Google Classroom What are the solutions of the following equation 6 x 21 9 4 x 2 5 Choose 1 answer

K Complete the table shown to the right for the half life of a certain radioactive substance k Round to six decimal places as needed www Half Life 13 1 days Decay Rate k

For 0 0 2 solve the below equations for all values of 8 Using your filled out unit circle will help to solve these sin 0 3 2 tan 0 1 tan 0 3 3 tan 8 3

A boat race runs along a triangular course marked by buoys A B and C The race starts with the boats headed west for 3600 meters The other two sides of the course lie to the north of the first side and their lengths are 2000 meters and 3000 meters Draw a diagram that gives a visual representation of the problem Then find the bearings for the last two legs of the race Round your answer to one decimal place

Use the given pair of vectors u 1 2 v 4 3 to compute u v UIV 2u 3v Question Help Video

6 DETAILS Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number sin 20 cos 1600 cos 20 sin 160

DETAILS Write the trigonometric expression in terms of sine and cosine and then simplify tan x sec x DETAILS Write the trigonometric expression in terms of sine and cosine and then simplify CSC X sec x

In a right triangle one angle measures 8 where sine 3 5 What is tan 90 0 OC OOO 1 2 2 2 3 6 3 6 6 7 8 8 9 S 6 7 8 9

Finding Distance A lighthouse L stands 4 mi from the clos est point P along a straight shore see figure Find the distance from P to a point Q along the shore if LPLQ 22 4 mi P Q

A bag contains 3 gold marbles 9 silver marbles and 26 black marbles Someone offers to play this game You randomly select one marble from the bag If it is gold you win 4 If it is silver you win 2 If it is black you lose 1 What is your expected value if you play this game Question Help Video Message instructor

Graph the trigonometric function 1 y 3 Start by drawing three consecutive asymptotes Then plot two points one on each side of the second asymptote Finally click on the graph a function button sec X

Graph the trigonomet 1 3 y sec Start by drawing three consecutive asymptotes Then plot two points one on each side of the second asymptote Finally click on the graph a function button y 2s X

Three grapns are given below For each choose its equation from the following y 2 secx y tanx y 2 sec 2x y cscx Equation Choose one y cotx 3x 4 I 5x 1 1 1 7x I 1 4 y tan x 11 m mon 4 Equation Choose one 33 37 7 Equation Choose one 4

If P x y is on the unit circle then x y Need Help 3 Points Read It DETAILS So for all t we have sin t cos t Find the exact value of the trigonometric function at the given real number a sin 127

The city of Frederick has 9282 registered voters There are two candidates for the city council in an upcoming election Marfani and Rahman The day before the election a telephone poll of 500 randomly selected voters was conducted Of them 145 said they would vote for Marfani 100 said they would vote for Rahman and 255 were undecided What is the population size people What is the sample size people Question Help Video Message instructor

5 A weather balloon is spotted from two angles of elevation 57 and 83 from tracking stations A and B in the diagram below The tracking stations are 15 km apart Determine the distance from tracking station A to the balloon rounded to the nearest kilometre 4 marks

Graph the trigonometric function 5 y COSX 2 Plot all points corresponding to x intercepts minima and maxima within one cycle Then click on the graph a function but 2 27 3m An X G

Find cot 0 sec 0 and cos 0 where is the angle shown in the figure Give exact values not decimal approximations 0 6 5 cot 8 11 cos sec 8 0 11 0

Use the ALEKS calculator to evaluate each expressic Round your answers to the nearest hundredth cos 75 sin 49 tan 14 11 11 1

Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find the exact values of csc 0 cot 0 and sin 0 csc 0 cot 0 sin 0 0 0 0 FIND X 0 6 G 20 21 29 29

5T Find the terminal point on the unit circle determined by radians Use exact values not decimal approximations x y D 3 0 0

Answer the following a Find an angle between 0 and 2 that is coterminal with a radians b Find an angle between 0 and 360 that is coterminal with 600 Give exact values for your answers b 3 7 X 5 6

Answer the following Round your answers to the nearest hundredth a Convert 2 47 radians to degree measure 0 b Convert 122 5 to radian measure radians X

Sketch 0 4 3 in standard position Drag to show the angle s X

My courses SC MATH1507 M N O P Q R S Mathematics Il for the Biological and Health Sciences Tutorial Assignments and Test Page Winter 2023 Online Assignments Assignment 1 f LICS II for the Biological and Health Sciences Tutorial Assignments An icosahedron is a Platonic solid with a surface that consists of 20 equilateral triangles By what factor does the surface area of an icosahedron increase as the side length of each triangle doubles from a unit to 2a units if a 3 3 Answer

1 Accurately sketch the function f 0 5 sin 30 270 2 using key points and key features Sketch at least 2 cycles of the function 6 marks

Select all that apply Which of these statements about m ary trees are true Select all that apply A 5 ary tree of height 3 can have 125 leaves A 7 ary tree with 344 leaves has height 4 A 4 ary tree of height 3 can have 65 leaves A 6 ary tree with 217 leaves has height not less than 4 A full and balanced 8 ary tree with 513 leaves has height 4

Use substitution to determine whether the given x value is a solution of the equation 3 16 tan 4x 1 x O x O 3 16 3 X 16 is not a solution of the equation is a solution of the equation

H3 OA 3 37 Select the graph that represents the point OB 5 O C O D

For the point given in polar coordinates state the quadrant in which the point lies if it is graphed in a rectangular coordinate system 5 135 The coordinate 5 135 lies in quadrant III I

Solve the triangle Do not round until the final answer Then round to the nearest degree as needed be Do not round until the final answer Then round to the nearest tenth as needed CO Do not round until the final answer Then round to the nearest tenth as needed A 490 b C C a 106 450 B

Solve by using the square root property of equality x 25 Simplify your answer Use a comma to separate answers as needed Type an exact answer using radicals needed

The point 3 4 is on the terminal arm of A Which is the correct value of sec A3 OA 12 10 OB 09

Determine the length of x to the nearest tenth of a centimetre 51 A 64 6 cm B 42 6 cm C 44 8 cm D 66 8 cm 42 52 cm

Which strategy would be best to solve for x in the triangle shown 11 m 15 m X OA sine law B cosine law C primary trigonometric ratio

Which strategy would be best to use to solve for x X A sine law B cosine law 30 mm C primary trigonometric ratio

In which quadrants are the cosine ratios negative values OA second and fourth B first and second C second and third D third and fourth

Use the given information to solve right triangle ABC for all missing parts a 38 ft B 63 A Type an integer or a decimal A b B ed a b ft Do not round until the fina answer Then round to the nearest whole number as needed C ft Do not round until the final answer Then round to the nearest whole number as needed

Solve the triangle a 6 c 5 B 58 b Do not round until the final answer Then round to the nearest tenth as needed c 0 C Do not round until the final answer Then round to the nearest degree as neede A Do not round until the final answer Then round to the nearest degree as needed

60 Find x X 7 X 30 VE Give your answer as a simplified radica

3 60 Find x 6 X 30 x Give your answer as a simplified radica

Express the given sum or difference as a product of sines and or cosine sin 2x sin 6x sin 2x sin 6x Simplify your answer

Consider the following 15TT 4 t a Find the reference number t for the value of t b Find the terminal point determined by t 2 2 x y 1

Express the number in decimal notation 2 01x10 5 2 0

Given cosA 16 65 and that angle A is in Quadrant I find the exact value of cotA in