Coordinate system Questions and Answers

Graph the trigonometric function y sin 2 Plot all points corresponding to minima and maxima within one cycle Within that cycle also plot all points along the midline points whose y coordinate midway between the function s minimum and maximum values Then click on the graph a function button

Sketch the graph of the basic cycle of y 2 csc x n Period Phase Shift Terminal point Graph lies above y Asym are x below y

ST 47 3t 27 70 The graph above is a graph of what function f x O Show Transcribed Text 2 3 8 6 2 70 27 2a L 5 37 An D ST

The point F in the graph has the coordinates

on 16 et red d out of Y on The point in the graph below represent 1

s IM3 Pt 2 Unit 5 Polar Coordina

0 of Find the first 4 ter 1 4x 6 Select one

on 2 Find the first 4 tern 1 3x 7

7 A General Social Survey asks questions perspective

on 8 red d out of Find 5 C 4 and 9 Select one C a 10 84

2 Which expression is equivalent to 16x A 4x B 4x4 C 16x16 D evious 16x4 4

1 Convert to rational exponents

the sidesof one of the pentagons are a 20 c and 30 respectively if the corresponding sides of hte other pentagon are 46 50 d 102 and 24 respectively what are the mising measures

37 Use reference angles to find the value of the function tan 500 A 1 192 B 0 8391 C 0 8391 D 1 192

Use a trigonometric function to find each value of x Round to the nearest tenth if necessary O O 17 tan 49 cos 49 sin 49 17 X 17 X 17 X 49 7 X x 14 8 x 25 9 x 22 5

Find the exact value of each trigonometric function tan St 0 3 O 3 0 1 3

Find the EXACT value of sin A B if cos A 15 where A is in Quadrant III and tan B 8 in Quadrant I Assume all angles are measured from standard position sin A B 5 where B is

The rear window wiper blade on a station wagon has a length of 16 inches The wiper blade is mounted on a 22 inch arm 6 inches from the pivot point 6 16 a If the wiper turns through an angle of 120 how much area is swept clean Round your answer to two decimal places 469 14 in b Through how much of an angle would the wiper sweep if the area cleaned was 10 square inches Round your answer to two decimal places 2 56 c Suppose bug A lands on the end of the blade farthest from the pivot Assume the wiper turns through an angle of 120 In one cycle back and forth of the wiper blade how far has the bug travele Round your answer to two decimal places x in d Suppose bug B lands on the end of the wiper blade closest to the pivot Assume the wiper turns through an angle of 120 In one cycle of the wiper blade how far has the bug traveled Round you answer to two decimal places X in Additional Materiale e Suppose bug C lands on an intermediate location of the wiper blade Assume the wiper turns through an angle of 120 If bug C travels 28 inches after one cycle of the wiper blade determine the location of bug C on the wiper blade Give your answer in terms of distance from the pivot point Round your answer to two decimal places 6 68 in

3 Two circles of radii 9 cm and 13 cm have their centres 15 cm apart a Find the angle between the radii joining the centres to the points of intersection of the circles

Point S is located at 4 Plot Point S on the number line below Click on the graph to plot a point Click a point to delete it 10 5 O 5 10

Solve the equation x 4 1 0 Enter the solution in the box Show Hints

52 4 i 8 0 Enter the solution in the box Hide Hints 1 Begin by isolating the radical on one side of the equ

Add Write your answer in simplest form 10 2 9 8

Add Write your answer in simplest form 3 5 2 5

6 In right AJKL below a Write the trigonometric ratio to find the m and solve for m4J Round to the nearest tenth 22 signs grizzlm grit not svip 0 8 K L b Write the trigonometric ratio to find the m2K and solve for m2K Round to the nearest tenth othod find m K and see if it matches your answer in part b

I Question 9 Not yet nswered Marked out of 100 Flag uestion If 1 4 b 3 6 what is Choose the correct vector Select one Oa

K Determine the equ

TONS Determine the equation of the graph IWE The equation of the graph is Type your answer in slope intercept for numbers in the equation Simplify your a

Find a function of the form y A sin kx Cor y A cos kx C whose graph matches the function shown below 17 16 15 14 13 12 11 20 0 6 Leave your answer in exact form if necessary type pi form 2 cos 14 7 1 y X 27 10 11

For the set of triangle vertices find the coordinates of the vertices of the image after a dilation by the given scale factor and center of dilation Then graph the preimage and image on a separate sheet of paper D 2 2 E 4 2 F 1 4 k 1 5 E 4 2 centered at E D E

2 Unit 6 Review A parallelogram hen a Adjacent sides are congruent b Diagonals are perpendicular Diagonals are congruent c d Both pairs of opposite sides are congruent

The graph to the right is a function of the form y A cos Bx C D B 0 The five quarter points of one cycle of the graph from left to right are given below These five quarter points on the graph correspond to the five quarter points on the graph of y cos x over the interval 0 2 Determine the equation of the specific function that is represented by the given graph based on the association of the labeled quarter points and the quarter points of the graph of y cos x over the interval 0 2 X Q What is the function of the form y A cos Bx C D where B 0 and that is represented by the given graph

Simplify to complex numb 7 i 4 31

The lengths of the sides of a right triangle are x x 2 and x 5 Which of the following equations could be used to find x A x x 2 x 5 B x x 5 x 2 C x x 2 x 5 D x 2 x 5 x

What is the measure of ZWMP M O 100 O 50 O 200 80 N P 100

Summative Assignment 6 Determine the intervals when h x P x algebraically Show all your work Check your work using the graph from step 4 h x 1 2 x 1 P x 2x 4x 2x x 1 2 N APG 5 07 F 3 N N 2 7 ire F f 14 3 h x 4 57x

Scores in the game of bowling range from 0 to 300 per game inclusive Vito s average score in the first 6 games of a bowling tournament was 200 What is the lowest score he can receive in his 7th game and still have an average score of at least 240 for the entire 12 game tournament

Question 13 1 point Saved Consider the following measures shown in the diagram with the circle centered at Point A AB 3 ft mCDB rads Determine the approximate major arc length of CDB 05 A 18 5 A 12x A 5 67 B 3 ft 6mt 5 A D C Figure may not be drawn to scale

Consider the following measures of the segments shown in the diagram BF 9 cm CF 4 cm DF EF Determine the length of the segment DF 6 cm 5 cm 6 5 cm 5 5 cm B E 4 F X X D 9 C Figure may not be drawn to scale

25 three samples shown of approximately 1 4 moles Which of the following is closest to the range of volumes of these three samples in liters A 30 B 20 C 9 D 3 Based on the ideal gas law what is the volume in liters of a sample that contains 1 200 moles A 6 000 B 24 000 C 36 000 D 60 000 ich of the following is true

Let the function fbe defined by f x x 1 x 7 Which of the following is an equivalent form of fin which the minimum value of f appears as either a coefficient or a constant A f x x 7 B f x x 6x 7 C f x x 3 16 D f x x 3 20

4 A certain part of a hiking trail slopes upward at about a 5 angle yft 100 ft x ft a After traveling a horizontal distance of 100 feet along this part of the trail what would the change in a hiker vertical position the hiker traveled along the path

Notation Trig Function reference angle ratio Example sin 25 0 4226 or 0 4 Calculate the following on your calculator Round t the nearest tenth a cos 60 b tan 77 C sin 50 elges

domain range f 1 5 Use the graph to find the indicated function values a f 1 b f 0 d f 2 y f x 5 X

Given the information a vector has length 5 with Northwest direction it could be drawn from and extend into the

a The radian measure of an angle is the length of the b To convert degrees to radians we multiply by c To convert radians to degrees we multiply by arc that subtends the angle in a circle of radius 1 O

If the angle 8 is in standard position and P x y is a point on the terminal side of 0 and r is the distance from the origin to P then sin 0 cos 0 tan 0

When graphing the polar equation r 3 cos 20 as approaches from 0 the radius changes from to 2

Gail and Kaitlyn are converting the polar equation r 3cos Gail r 3cos0 3 rcos is is Kaitlyn r 3cos r r 3rcos x y 3x 0 is the since it is mathematically correct to multiply both sides of an equation by the sam since it is mathematically incorrect to switch values on either side of an equation retangular equation

Monique is trying to convert the polar equation into a rectangular equation Put the steps in order 3 1 2cos T Isolate the r r 2x 3 Square both sides r 2x 3 2 Substitute any values for x or y r 2x 3 Multiply both sides to eliminate the fraction Rewrite in Standard Form 3x 12x y 9 0 Substitute 2 x y 4x 12x 9 r 1 2cos0 3 Gailand Kaitlyn are converting the polar equation Choose Choose Choose Choose Choose