# alg/trig

4,409 results, page 30

1. ### Physics (trig)

The height of an outdoor basketball backboard is 12 1/3 feet and the backboard casts a shadow 19 1/5 feet. Find the angle of elevation of the sun (answer in units of degrees). Can someone help me with the formula? Thank you!
2. ### Trig-Weird Geometry Problem

Determine all triangles ABC for which tan(A-B)+tan(B-C)+tan(C-A)=0. There's a hint: "Can you relate A-B to B-C and C-A?" Should I apply the tangent difference formula (tan(x-y))? Help would be appreciated, thanks.
3. ### precal

when i do the quadratic equation i get -17 plus or minus the square root of 193 all over 2. where do i get the two "cos 3x" roots?? solve the equation to the nearest tenth, where 0 degrees < or equal to x which is < 360 degrees. 8cos^2 3x-17cos3x+3=0 this doesnt factor, ...
4. ### Trig help?

The question is: State the vertical shift and the equation of the midline for y = 4cosθ-1? I have NO idea what to do here. Can someone possibly show me step by step? I am more of a visual learner, if I see something done I can usually understand it.
5. ### Math - Trig

I need to find the solutions in the interval [0, 2pi for: 2sinx + cosx = 0 Im trying to get it where I can split two things up and set them equal to zero but that can only be done when they are being multiplied to each other, but as you can see they are being added, so they ...
6. ### Trig

Let O represent the origin and P be the point (9, -4). Find the positive angle (counterclock wise direction)that the line segment OP makes with the positive x-axis. the answer is 5.86 radians but i keep getting 0.418 radian. please help and show work
7. ### Trig

Let O represent the origin and P be the point (9, -4). Find the positive angle (counterclock wise direction)that the line segment OP makes with the positive x-axis. the answer is 5.86 radians but i keep getting 0.418 radian. please help and show work
8. ### trig

we haven't discussed log properly yet! It's supossed to be on the RAT, but IDK. . . this is about as much as I know: if you have log(X) 2401 = 4, then x equals 7. One of the simulated questions asks to express 3log(2) p + 4log(2) Q - 2log(2) R. please help.
9. ### Trig

Find the value of the six trigonometric functions. t = 7(pi)/4 Can you show me step by step so I can see how this is solved? Also, do I need to graph this first in order to understand or begin the problem? I am trying to self teach - but having problems.
10. ### Pre-Calculus-Trig

A 40 foot high flagpole sits on the side of a hill. The hillside makes a 17 degree angle with horizontal. How long is a wire that runs from the top of the pole to a point 72 feet downhill from the base of the pole?
11. ### trig HELP

A barn is 30ft. wide by 60ft long; the rafters make an angle of 40degrees with the horizontal. Find the area of each of the two gable ends and the area of the roof. Please Include Solution And If Possible An Illustration. Thank You In Advance :)
12. ### Precalculus/Trig 5

A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 26 degrees with the ground? Give your answer to the nearest tenth of a foot
13. ### Precalculus/Trig 5

A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 26 degrees with the ground? Give your answer to the nearest tenth of a foot
14. ### Math - Calc/Algebra/Trig

I'm trying to find all the points on the graph y=4/3cos^3x-cosx where the tangent line is horizontal. I took the derivative, which gave me: -4cos^2(x)sin(x)+sin(x) Now I need to solve it for x and I'm not sure how. Can you help?
15. ### Math (Trig Identities)

I am currently working on a problem relating to trigonometric identities and I seem to be stuck. The question wants me to find sin(x/2) when cosx = -(12/13) in the interval (pi,3pi/2). I know that the eventual answer will be 5/sqrt26, however, I am not sure how to get there. ...
16. ### trig

If theta is the measure of an angle in standard position with the given conditions, find the quadrant(s) in which the terminal side of theta lies. a) cot theta < 0 b) cos theta > 0 , csc theta < 0
17. ### trig

in the diagram below.A,B and C are three points in the same horizontal plane and AD is a vertical tower.AC=AB=x and DC=DB.the angle of elevetion of D from C is alpha and DB^C=theta 1.express DC in terms of x trigonometry value of alpha 2.prove that BC=2xcostheta/cos alpha
18. ### Math

Solve the indefinite integral of 1/sqrt(x^2+2x+5). I solved it all out by completing the square and then trig sub and then drawing a triangle to go back to x variable and got: ln |(sqrt(x^2+2x+5)/2 + (X+1)/2 ) | but the book answer is: ln |(sqrt(x^2+2x+5) + x + 1 ) | So, how ...
19. ### Math

Solve the indefinite integral of 1/sqrt(x^2+2x+5). I solved it all out by completing the square and then trig sub and then drawing a triangle to go back to x variable and got: ln |(sqrt(x^2+2x+5)/2 + (X+1)/2 ) | but the book answer is: ln |(sqrt(x^2+2x+5) + x + 1 ) | So, how ...
20. ### Alg help

10(x-2) = 10 one solution no solution infinate solutions -2(y-3)= 2y- 6 one solution no solution infinate solutions
21. ### Math/Trig

Find the angular velocity of an object, rotating on a circular object, moving through 9.7 revolutions in 11 seconds. Express your answer in rad/sec and round your answer to the nearest tenth.
22. ### Pre-Calculus-Trig

A pilot in a plane at an altitude of 22,000 feet observes that the angle of depression to a nearby airport is 26 degrees. How many miles is the airport from a point on the ground directly below the plane?
23. ### Pre-Calculus-Trig

A surveyor stakes out points A and B on sides of a building. Point C on the side of the building is 300 feet from A and 440 feet from B. Angle ACB measures 38 degrees. What is the distance from A to B?
24. ### Algebra and Trig

Aldo has feet of fencing. He will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. What is the maximum area that the garden can have?
25. ### trig

the terminal side of angle theta in standard position lies on the line that travels through point (9,1), find sin of theta, cos of theta, tan of theta. (give exact values)
26. ### Trig

Use linear velocity to find out how many miles per hour Jethro's truck is going. In 15 seconds, Jethro's truck's 24-inch diameter tires rotated 101 times.
27. ### trig

A tree casts a shadow 203 feet long. Find the number of feet in the height of the tree knowing that the angle of elevation of the sun is 16 degrees. Give your answer to the nearest integer. a. 57 b. 56 c. 61 d. 58 e. 55
28. ### Trig

the horizontal speed of an airplane is 183mph. the magnitude of the plane's velocity is 200mph. write an expression describing the angle the angle the plane is climbing my solution: cos-1 183/200 is this right
29. ### trig

Write an equation for simple harmonic motion, given that the amplitude equals 4 inches and the period equals 2 seconds and the max displacement occurs when t=0. answers: y=4sin pi t, y=4cos pi t, y=4cos t, y=4sin2 pi t
30. ### trig

at one point in the day, a tower that is 150 feet high casts a shadow that is 210 feet long. Find, to the nearest tenth of a degree, the angle of elevation of the sun at that point
31. ### math12A TRIG pleas help

a farmer wishes to fence a field in the form of a right triangle.If one angle of the right triangle is 43.2 degree and the hypotenuse is 200yard,find the amount of fencing needed.
32. ### trig

a kite is flying at an angle of elevation of about 40 degrees. all 80 meters of string have been let out. ignoring the sag in the string, find the height of the kite to the nearest 10 meter
33. ### trig

Help! Ships A and B leave port at the same time and sail on straight paths making an angle of 60 degrees with each other. HOw far apart are the ships at the end of 1 hour if the speed of ship A is 25 km/h and that of ship B is 15 km/h?
34. ### Calculus

Integrate dx/(sqrt(x^2+16)). I have no idea how to start and which method to use. Thinking some sort of trig substitution? But it doesn't look like it. Step by step? Answer key says ln|x+ sqrt(x^2+16)|.
35. ### TRIG - BEARING PROB.

A ship is travelling on a bearing of 345 degrees. Then it makes a 90 degree right turn. What is the ship's new bearing?
36. ### trig

If a=8, the angle C=50 degrees and the angle A=35 degrees find the other angle B and the remaining b and c sides. Give your answer to at least 3 decimal places.
37. ### trig

Suppose the tangent of an acute angle in a right triangle is less than 1. How does the side opposite the angle compare to the side adjacent to the angle?
38. ### Precalculus

Consider the equation 7sin^2x - (4sin2^x)/cosx = -1 a) Put the equation in standard quadratic trig equation form. Why is it 7sin^2x - 8sinx + 1 =0?
39. ### Trig

Given that csc θ = -4 and tan θ > 0, find the exact value of a. x b. sin θ c. cos θ d. r e. sec θ f. cot θ
40. ### Math - Int Trig

Form a polynomial f(x) with real coefficients having the given degree and zeros 21) Degree: 4, zeroes: 2i and -3i 22) Degree: 3, Zeroes i and -10
41. ### math trig

a 3.8m ladder rests against a vertical wall and makes an angle of 38 degrees with the wall. how far does the ladder reach up the wall?
42. ### trig

Graph one complete cycle of y + cos x cos pi over6 + sin x sin pi/6 by first rewriting the right side in the form cos(A-B)
43. ### trig

using the fact that 5pi/8=1/2(5pi/8) and the half angle identity for cos to find the exact (in terms of radicals) value of cos(5pi/8)
44. ### trig

At 2 points 95 ft apart on a horizontal line perpendicular to the front of a building, the angles of elevation of the top of the building are 25 degrees and 16 degrees. How tall is the building?
45. ### Trig

A tree is growing at an angle out of the ground, 15°17' from vertical. Standing 10 feet away from the base, the angle to the top of the tree is 25°17'. What is the length of the tree?
46. ### TRIG

5. A wheel 5.00 ft in diameter rolls up a 15.0° incline. How far above the base of the incline is the top of the wheel after the wheel has completed one revolution? A. 4.07 ft B. 13.1 ft C. 8.13 ft D. 9.07 ft
47. ### Trig

The graph of y-7 cosθ + 24 sinθ would be a sinusoid if it were plotted. What would be the first positive value of θ at which there is a high point?
48. ### Trig

a 12-ft-long guy wire is attached to a telephone pole 10.5 ft from the too of the pole. If the water forms a 52 degree angle with the ground, how high is the telephone pole?
49. ### trig

Find all solutions in the interval [0,2π) for cos(x - π/6) = 1 + cos(x + π/6). Show work, please and state in solution set.
50. ### trig

If (-2,5) is a point on the terminal side of an angle theta, find the exact value of the six trigonometric functions of theta. Then find the actual measure of theta.
51. ### trig.

A ladder 20 feet long leans against the side of a house. Find the height from the top of the ladder to the ground if the angle if the angle of elevation of the ladder is 80°
52. ### trig.

A ladder 20 feet long leans against the side of a house. Find the height from the top of the ladder to the ground if the angle if the angle of elevation of the ladder is 80°
53. ### Math - Int Trig

31) Locate, name, and classify the extrema of the function. Determine intervals which the function is increasing and decreasing f(x) = -x(x^2 - 2) 32) Determine the end behavior of the function f(x) = 2x - x^3
54. ### Trig

A conveyor is used to lift paper to a shredder. The most efficient operating angle of elevation for the conveyor is 35.2°. The paper is to be elevated 16.0 m. What length of conveyor is needed?
55. ### trig

A kite is flying overhead at an angle of elevation is 28. If the kite string is 10m long, what is the horizontal that the kite is flying away from you?
56. ### math ALG 2!scientific notations helpp

Write the following value in standard notation. 4.25 x 106 Write the following value in standard notation. 3.89 x 104 Write the following value in standard notation. 3.14 x 10-5 Write the following value in standard notation. 2 x 10-6
57. ### Alg I

One type of decorative ribbon regularly costs \$3.59 per yard. When the ribbon is on sale, it cost \$2.19 per yard. Which is the closest to the difference in the cost per inch for the ribbon when it on sale compared to its regular price? A. 1.9 cents per inch B. 3.8 cents per ...
58. ### trig

The hypotenuse of a right triangle has length 8 and one of the other edges has length 3. What is the sine of the angle opposite the edge of length 3? (A) 3/p55 (B) 3/8 (C)p55/8 (D) 55/64 (E) None of the above.
59. ### trig

a grocery store display consists of cases of soda. there are 15 cases at the base, and 1 case at the top. if there are 15 rows, how many cases are needed for the entire display? a) 180 b)30 c)130 d)15
60. ### Trig calc

A) P is approximately (0.883, 0.469), is a point on the unit circle with angle 28 degrees estimate the following. Sin 152 degrees = Cos 152 degrees =
61. ### TRIG

The length of a rectangle is 142.9 in. If the diagonal makes an angle of 32.1o with this side, find the measure of the diagonal of the rectangle rounded to the nearest tenth of an inch. let x represent the diagonal.
62. ### Trig

The length of a rectangle is 142.9 in. If the diagonal makes an angle of 32.1o with this side, find the measure of the diagonal of the rectangle rounded to the nearest tenth of an inch. let x represent the diagonal.
63. ### Maths - Trig

I just had a test, and one question I tried heaps of times and I still couldn't answer. It was "Prove secèsinè + cosecè cosè = 2cosecè " Can someone please tell me if proving this is possible at all? (But don't tell me how to solve it)
64. ### trig/precalculus

A crate weighing w pounds sits on a ramp positioned at an angle of x with the horizontal. The forces acting on this crate are modeled by the equation Mwcosx = wsinx, where M is the coefficient of friction. What is an expression for M in terms of x? A. M = tanx B. M = cotx C. M...
65. ### trig/precalculus

A crate weighing w pounds sits on a ramp positioned at an angle of x with the horizontal. The forces acting on this crate are modeled by the equation Mwcosx = wsinx, where M is the coefficient of friction. What is an expression for M in terms of x? A. M = tanx B. M = cotx C. M...
66. ### trig

Hi there! I NEED SERIOUS HELP, PLEASE!!! i have such a hard time with verifying identities! The question is: [(sin(theta/2)) / csc(theta/2)] + [(cos (theta/2) / sec(theta/2)] = 1 I have a few ideas on how to solve this, but am mainly not sure how to get rid of (theta/2). I am ...
67. ### trig wave forms aargh!

express 10*sin*w.t in the form A*sin*w.t + B*sin*w.t It is already in the form you want. Just set A = 10 and B = 0.
68. ### Trig

Rewrite 9pi/5 radians in degree measure. 9pi/5 =9pi/5(180/pi radians) =1620/5 =324 degrees
69. ### Precalc and trig

cos^2 (x+a)-sin^2(a)= (cos x)(cos (2a+x)) prove using only side i worked on the left side...
70. ### TRIG

If cos theta= -sin theta, then sin^2 theta is? a) 1/4 b) 1/2 c) sqrt2/2 d) - sqrt 2/2 please show me how you got the answer! thank you!
71. ### trig

What are the values of theta in the interval 0 less than or equal to theta is less than 360 that sastify the equation sin theta - 1/2 =0?
72. ### trig

please help. show step by step how to solve h(x)=2 cot(x/2) Identify period identify x-intercepts identify asymptotes
73. ### Math - Trig

Let Vector V(t) = 2pi t î + 2pi t ĵ. Find the vector V(1/3). Where is the vector after the next 1/3s? What is the angular speed?
74. ### trig

Sketch the graph of f(x)=sin(x+30 degrees) and g(x)=cos2x in the same system of axis [-180 degrees;180 degrees]
75. ### trig

in proving trigonometric identities if 1 + sin^2 theta is equal to 2 sin^2 theta + cos^2 theta. what is the correct answer?
76. ### trig

Given sin a = 15/17 with a in Quadrant I and cos beta = 4/5 with beta in QuandrantIV, find the exact value of cos(a+beta)
77. ### trig

Use standard identities to express sin(2θ+π/3) in terms of sinθ and cosθ
78. ### Trig

Force 1= 65 pounds , Force 2=90 pounds find the angle between the forces? magnitude of the resultant force= 70lbs
79. ### trig

in triangle ABC, a = 2, b = the square root of 3, and m,angle C = 30 degrees. What is the value of c? a= 1 b= 2 c= 2square root of 3 d=square root of 3 over 3
80. ### trig

an airplane leaves the airport and flies due west 150 miles and then 240 miles in the direction 200°40'. Assuming the earth is flat, how far is the plane from the airport at this time( to the nearest mile)?
81. ### Pre-Cal

given the function y=2sin3x-1, identify the following below. also show its graph for the primary cycle. (identifying parts of a trig. equation) asymptotes= k= c= axis= primary cycle= period=
82. ### trig

An airplane flying at 600 miles per hour has a bearing of 152 degrees. After flying for 1.5 hours, how far north and how far east will the plane have traveled from point of departure?
83. ### trig

Find all angles θ between 0° and 180° satisfying the given equation. (Enter your answers as a comma-separated list. Round your answers to one decimal place.) cos θ = 1/7
84. ### Trig

Prove the following functions: (sinx+sin2x)/(1+cosx+cos2x)=tan x (cos3x/sinx)+(sin3x/cosx)=2cot2x tan2x=(2/cotx-tanx) theses are due in the am. Fastness would be great?
85. ### Trig

Since the center is 6 feet above the water, the horizontal line of symmetry of the sine curve will be 6 units above the x-axis. This information helps you find the value of vertical shift. Write its value.
86. ### math trig

two points A and Bare 80 feetapart on the same side of A towerand on a horizontal line through its foot.if angle of elevation of the top of the tower at A is 21 degree and B is 46 degree find the height of the tower.
87. ### Math Trig

A plane's flight path called for it to fly from J to W. W is 200kms due North and 500kms due west of J. Draw a coordinate picture. What bearing will the pilot fly and what distance will he or she go in air kilometers?
88. ### Trig

Find all angles θ between 0° and 180° satisfying the given equation. (Enter your answers as a comma-separated list. Round your answers to one decimal place.) Sin θ = 1/4
89. ### Math - Trig

Two buildings of equal height are 850 feet apart. An observer on the street between the buildings measures the angles of elevation to the tops of the buildings as 29° and 40°. How​ high, to the nearest​ foot, are the​ buildings? I don't know how to set this up
90. ### math - trig/pythagoras

A piece of flat pastry is cut in the shape of a right-angled triangle. The longest side is 6b cm and the shortest is 2b cm a) Find the length of the third side. b) Prove that the area of the triangle is equal to 4√2b^2 cm^2.
91. ### trig

y = 3cos(x-1) Shift along x: Shift along y: Kind of reflection:
92. ### Trig

Verify the Identity (sin m +sin n)/ (cos m + cos n) = tan(m + n/2)
93. ### Trig

In the equation y=4cos 6x, what does 6 represent? In general for the equation y-acosbx, what does b represent?
94. ### Trig

find sin(s+t), given that sin t=1/3, t in quadrant 2, and cos s = -2/5, s in quadrant 3
95. ### trig

prove that (sin^4x-cos^4x)/(sinx-cosx) = sinx+cosx
96. ### trig math

Prove that tan(theta)tan(60+theta)=tan3theta
97. ### Trigonometry

What are these things called: -cos x = cos -x What are the rules to these trig rules? Thanks
98. ### Trig

Complete the following statement. (1-sinθ)(1+sinθ)
99. ### trig pre calc

cos x (sec x +cos x csc2x)=csc2x
100. ### trig

what is the single term of csc^2 theta-1 over csc^2 theta