Trigonometry Questions and Answers

Question is spotted by two observers at X and Y rplane passes over the line joining them e angle of elevation to the plane as indicate ow high is the airplane

Question 7 8 2 29 angle are given below Determine whether the given in 160

Rewrite sin 2 sin 1 6 sin 2 sin 2 6 0 as an algebraic expression in v

Rewrite cos 2 tan u as an algebraic expression in u cos 2 tan u VE

Try Again Your answer is incorrect Use the information given below to find sin a 12 5 tan a with a in quadrant III sin 4 5 F sin a B with in quadrant II Give the exact answer not a decimal approximation 56 65 19 X

Plot the point 0 75 1 25 in the rectangular coordinate system Plot 0 75 1 25

The position of an object in circular motion is modeled by the given parametric equations Describe the path of the object by stating the radius of the circle the position at time t 0 the orientation of the motion clockwise or counterclockwise and the time t that it takes to complete one revolution around the circle x 8 cos 5t y 8 sin 5t radius of the circle position at time t 0 x y orientation of the motion O clockwise O counterclockwise time t it takes to complete one revolution t Need Help 42 4 Points Read It DETAILS MY NOTES quations Describe the path of the object

Find parametric equat Slope 5 passing through 10 20 x t y t Need Help Read It DETAILS radius of the circle 1 2 X 1 4 Points The position of an object in circular motion is modeled by the given parametric equations Describe the path of the obje by stating the radius of the circle the position at time t 0 the orientation of the motion clockwise or counterclockwi and the time t that it takes to complete one revolution around the circle x sin 4t y cos 4t position at time t 0 x y 0 1 clockwise orientation of the motion PREVIOUS ANSWERS MY NO

1 If sin 0 k what are sin 0 and sin 0 2 If sin t 3 5 find two possible values for cos t 3 Use the unit circle to find the value of 1 3 Use this to compute cos 11 3 and sin 13 3 Your answers should be exact values not decimal approximations

Questi hose primary directions are north south is s the straight path of the road Since the co e bay The illustration shows the path they hway needed to go around the bay

ork he value of each of the six trigonomet

Homework The eyes of a basketball player are 5 7 feet al the free throw line which is 15 feet from the c the figure What is the angle of elevation from the rim Hint The rim is 10 feet above the flo

X D2L MyLab All Assignments MATH X Maps pearson com Student PlayerHomework aspx homewo Translate onometry 1 News tion 8 1 Homework K P Find the value of each of the six trigonor

4 B a a b Part 1 of 3 Point Use the right triangle and the given information to solve the triangle b 5 B 20 find a c and A Round to the nearest hundredth as needed

nework aspx homeworkid 643828276 qu Question 10 Part 1 of 3 own on the right and the given information to find a c and B

omework 4 0 a Find the value of each of the six trigonometric functions of the angle 0 in the figure b Question 3 8 1 9 Part 1 of 6 a 20 and b 15 HW Scor O Point sin 9 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

V sin cos 5u as an algebraic expression in u sin cos 5u Rewrite 6 0 X

Find sin 2x cos 2x and tan 2x if sinx sin 2x cos2x tan 2x 0 0 00 X 3 10 and x terminates in quadrant III S

Double angle identities Problem type 2 Simplify the expression by using a double angle formula 2 tan 40 2 1 tan 40 11 sin cot 0 B cos sec tan CSC

f Now solve the equation cos x sin x 1 for cos x and substitute this into your answer to part d above Simplify You should now have a formula for cos 2x in terms of just sin x g In summary write the 3 formulas you ve derived cos 2x cos 2x cos 2x Choose to either memorize or derive these formulas as needed 2 Find each by using a double angle formula derived above Don t use a calculator a cos 75 b sin 75 bu corine and simplifying

1 14 Find angle 0 for the triangle shown in Figure P1 14 K 10 m 0 4 m

Use the information given below to find sin a cos tan 4 5 4 3 with a in quadrant IV with in quadrant I Give the exact answer not a decimal approximation sin a B

For each equation find two solutions 0 0 360 which make the equation true You should not need a calculator a sin0 1 2 cos8 3 C b tan0 3 sin0 2 d

Lucy will go to college this fall She is looking for the best location for her apartment Most of her classes will be in Sawyer Hall She currently works at the coffee shop Use the diagrams for reference y 1 Campus housing has apartments at point A and point B Which building should Lucy choose if she wants to live equidistant from Sawyer Hall and her workplace Explain O Part A Constuct the incenter and circumcenter for the triangle with corners at these three locations Sawyer Hall A Sawyer Hall B Coffee Shop 2 Lucy s parents live at point 7 1 She has decided it is important to include her parents house in her planning loo y x4 Coffee Shop Parents House X

is inscribed in a A rectangle semicircle of radius 8m Find the dimensions of the rectangle that will maximize the area of the rectangle Make sure that you are using calculus to solve this

PSLO Assignment Question 5 of 10 2 points Question Attempt 1 of 1 it true that sin 2 60 2 sin 60 Give exact answers in simplest form xpand sin 2 60 as sin 60 60 using the sum formula for sine The rt 1 of 4 a Is it true that sin 2 60 2 sin 60 Give exact answers in simplest for sin 2 60 3 2 sin 60 3 The statement sin 2 60 2 sin 60 is true

Solve the right triangle ABC with C 90 B 31 17 c 0 6247 m A a b Simplify your answers Type integers or decimals m Simplify your answer Type an integer or a decimal Round to four decimal places as ne m Simplify your answer Type an integer or a decimal Round to four decimal places as ne

he length of the base of an isosceles triangle is 39 52 inches Each base angle is 22 14 Find the length of each of the wo equal sides of the triangle Hint Divide the triangle into two right triangles The other two sides of the triangle have lengths of inches Simplify your answer Type an integer or decimal rounded to the nearest hundredth as needed

Suppose that you are headed toward a plateau 21 6 meters high If the angle of elevation to the top of the plateau is 23 5 how far are you from the base of the plateau What is your distance from the base of the plateau meters Round to one decimal place as needed

ion 9 of 10 2 points Question Attempt 1 of 1 figure Find the indicated values to the nearest hundredth of a centimeter or hund 16 2 D 30 C cm AC 80 77 47 B 44 19 cm the lengths of BC AC DB DC ED EC and EA cm DB cm DC 0 cm ED 8 cm EC 9

Using the graph below estimate the magnitude of the error in approximating sin x by x for 0 6 x 0 6 Round your answer to one decimal place E x y x 1 y sinx x 1 2 2 1

The angle t is an acute angle and sint and cost are given Use identities to find tan t csct sect and cott Where necessary rationalize denominators 1 sint cost 6 35 6 oint s possible tant Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators csct Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators sect Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators cott Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize

Brightspace Assignment tion 5 of 10 2 points Question Attempt 1 of 1 2 3 4 5 that sin 2 60 2 sin 60 Give exact answers in sin 2 60 as sin 60 60 using the sum formula

ment 10 2 points Question Attempt 1 of 1 3 tion is an identity 1 cos 0 1 cos 0 cot 0 4 5

ce ment 10 1 5 points Question Attempt 1 of 1 3 4 5 6 given in the right triangle and the inverse sine cosine lize the denominator

Find the area K of the triangle b 3 c 6 A 80 K square units Do not round until the final answer Then round to two decimal places as needed

Solve the triangle a 4 b 5 c 3 A 53 1 Round to one decimal place as needed Round to one decimal place as needed O

Verifying a trigonometric identity Problem typ Try Again Your answer is incorrect Complete the proof of the identity by choosing the Ru sec x 1 cos x sin x To see a detailed description of a Rule select the Mor

Sketch a graph of the polar equation r sin 0 tan 9 cissold O 0 5 0 5 0 5 0 5 7 2 0 5 0 5 2 0 5 0 5 0 0 O 0 5 0 5 0 5 0 5 0 5 0 5 2 2 0 5 0 5 0

Use a graphing device to graph the polar equation Choose the domain of 8 to make sure you produce the entire graph 0 r 1 5 sin Need Help 5 Read It R 2 5 2 5 5 0 0 5 R 2 2 G 5 0

ose a grapming device to graph the poral equation Choose the domain to make sure you produce the entre graph r 2 cos N 2 Need Help 1 1 Read it 2 2 A 2 2 0 2 2 1 xf2 1 A 2 2 2

O 6 4 2 6 COS 4 2 2 A 2 6 2 6 at N 2 6 kostjonsky 4 6 24 6 0 0 O 6 6 4 2 4 2 2 4 2 6 4 2 2 6 4 2 2 2 2 4 4 6 6 0 0

Question 24 of 31 1 point Question Attempt 1 of 1 Three graphs are given below For each choose its equation from the following 70 y 2 csc 2x 4 sec 2x y csc 2x y cot x BI 4 I 1 1 1 1 L y tanx y tan x I

Graph two periods of the given cosecant function 1 y Choose the correct graph below O A X CSC 4 Ay Ar JRT 1BT Q B 0 4T 8x 12x 16x Q O C Ay 8 12 16

Verify the identity sin x sin x cot x csc x To verify the identity start with the more complicated side and transform it to look like the other side Choose the correct transformations and transform the expression at each step sin x sin x cot x sinx 1 cot x Do not simplify 2 sinx csc x nx csc Do not simplify Factor out the greatest common factor sin x Apply a Pythagorean identity Apply a reciprocal identity to rewrite sin x Apply the appropriate even odd identity to rewrite sin x Apply a Pythagorean identity to rewrite sin x

Verify the identity 4 cos 0 4 sin 0 2 4 cos 0 4 sin 0 32 To verify the identity start with the more complicated side and transform it to look like the other side Choose the correct transformations and transform the expression at each step 4 cos 0 4 sin 0 2 4 cos 0 4 sin 0 2 32 cos 0 32 sin 0 Do not factor Square each of the binomial expressions and combine like terms Factor out the common term Combining like terms to simplify Ann rogol identity

Verify the identity secx tan x 2 1 sin x sin x cos x cos x Do not simplify 1 sin x To verify the identity start with the more complicated side and transform it to look like the other side Choose the correct transformations and transform the expression at each step secx tan x 2 1 Simplify your answer Rewrite in terms of sine and cosine inside parentheses Combine and square Square each term inside the parentheses Apply a reciprocal identity Divide out the common factor

Verify the identity 1 sec 0 tan 0 tan 0 1 sec 0 1 sec 0 tan 0 To verify the identity start with the more complicated side and transform it to look like the other side Choose the correct transformations and transform the expression at each step tan 0 1 sec 0 2 cot 0 Do not simplify Apply a Pythagorean identity Apply a reciprocal identity Combine using the least common denominator

The coterminal angle is Type an exact answer in terms of x Type your answer in radians Use angle me tan 9x Simplify your answer including any radicals Use integers or fractions for any n

Convert the flow rate of 1 cubic meters per minute to gallons per second Include the quart to liter conversion factor Convert the numerator first then convert the denominator Use the table of Unit Equivalencies in Lesson 1 5 to create conversion factors Show all needed conversion factors Some spaces may not require numbers in which case enter 1 Some units may be blank in which case select the second item in the list which is a blank space Round final answer to 2 decimal places if needed The setup below should look like the typical dimensional analysis that you learned If it doesn t resize the window on your computer if possible Select an answer Select an answer Select an answer Select an answer Select an answer Select an answer Select an answer Select an answer Question Help Video 1 Video 2 Message instructor Select an answerv Select an answer Select an answer Select an answer