# alg/trig

4,424 results, page 30
1. ## trig

City A is 300km due east of city B. City C is 200km on a bearing of 123¤ from city B. How far is it from C to A?
2. ## TRIG help quickly please

Mark any solutions to the equation 2cos2x - 1 = 0. The answer can be more than one. Thank you π/8 -7π/4 15π/4 3π/4
3. ## Pre-Calc/Trig...

Am i correct? The graph of y=3x^2-4x+2 opens downwards. FALSE The graph of y=2x^2-4x+2 has a y-intercept of (0,1). FALSE
4. ## Pre-cal/Trig

(tan/(1+sec)) + ((1+sec)/tan) = 2csc (Show all work please.)
5. ## trig

If sec(4 = csc(6 ) and Theta is an angle in radian measure determine m angle theta
6. ## trig

City A is 300km due east of city B. City C is 200km on a bearing of 123¤ from city B. How far is it from C to A?
7. ## trig

the angle in one regular polygon is to that in another as 3:2 and the number of the sides in first is twice that in second determine the the number of sides of 2 polygons
8. ## Grade 11 Algebra 2/Trig

Given : f(x) = x^2 and g(x) = 2^x The inverse of g is a function, but the inverse of f is not a function. Explain why the statement is true.
9. ## Trig

A pendulum swinging through a central angle of Ts completes an arc of length 6.4 cm. What is the length of the pendulum?
10. ## trig

THE SIDE OF A RIGHT-ANGLED TRIANGLE ARE 3XCM,3X-1CM AND 4X PLUS 1CM ,THE LAST SIDE BEING THE HYPOTHENUS FIND X.
11. ## trig

tan theta= square root of 3 / 3 if o degrees is less than or equal to theta less than o equal to 360
12. ## trig transformations

transformations in this function y= sin (X/9) it is 1/9 but that is not the transformation right? Is it a horizontal stretch of 9 because you flip it over, since it is horizontal ?
13. ## Trig

A jet is 115 mi east and 88.3 i north of Niagara Falls. What is its displacement from Niagara Falls?
14. ## trig

City A is 300kilometer due east of city B. city C is 200kilometer on a bearing of 123degree from city B.how far is it from C to A
15. ## trig

how do you find all the values of theta from 0 degrees through 360 degrees for which sin theta equals 0
16. ## trig

verify the identity: sec(beta)+ tan (beta)= cos(beta)/ 1-sin(beta)
17. ## TRIG

if sin s = -5 /13 and sin t -3/5 s is in QIII t is in QIV find tan (s-t) i got that tan (s-t)= 56/53 is that right? can someone check my work?
18. ## trig

an electric hoist is used to life a piece of equipment y = 2.6 feet. the diameter on the hoist is x = 12 inches. find the number of degrees through which the drum must rotate (round to the nearest integer). *I do apologize, there is a figure in my
19. ## trig

I need help with this problem: If San Francisco Giants homerun king, Barry Bonds, hit a baseball due west with a speed of 50.0 m/s, and the ball encountered a wind that blew it north at 5.00 m/s, what was the resultant velocity of the baseball?
20. ## Trig.

79): Find the area of the sector of the circle. Radius: 2.5 feet. Central Angle: 225 degrees. I multiplied (1/2)(25/4)(5pi/4), and I got 100pi/16, which reduced to 50pi/8 when I halved it. I reduced that to 25pi/4 or 19.63. But the book's answer is 12.27.
21. ## trig

an art student wants to make a string collage by connecting six equally spaced points on the circumference of a circle to its center with sting. What would be the radian measure of the angle between two adjacent pieces of string, in simplest form?
22. ## Trig

When two bubbles cling together in midair their common surface is part of a sphere whose center D lies on the line passing through the centers of the bubble. Also, angles ACB and ACD are 60 degrees. Show that the radius r of the common face is given by
23. ## 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
24. ## 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
25. ## Trig

Water is being pumped at a 3 cubic feet/minute into a cylindrical storage tank with a circular base of a radius 4 feet. Find the depth of the water (d) as a fucntion of time (t)
26. ## trig

I asked below but I guess it was not understood what I was asking. I'll try again. Could someone show me how, (- sin (x/2) /( 2 sin (x/2) + cos (x/2)) is an alternate representation for, 1 / ( 4 tan (x/2) + 2 ) TIA Carol I know the half-angle formulas are
27. ## trig

city A is 300 miles directly north of city B assuming the earth to be sphere of radius 4000 miles determine the difference in latitude in degrees of the two cities
28. ## trig

A loading ramp is 35 feet long and forms an angle measuring 10° with the ground. How high is the top end of the ramp off the ground? Round your answer to the nearest tenth?
29. ## Trigonometry

Solve the following trig equations. Give all positive values of the angle between 0 degrees and 360 degrees that will satisfy each. Give any approximate value to the nearest minute only. 3 sin è - 4 cos è = 2 Can you please help me with this one.
30. ## 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=
31. ## Trig/Precal

An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?
32. ## Math/Trig

Find the linear velocity of an object, 3 cm away from the center, rotating on a circular object with an angular velocity of 0.56 rad/sec. Round your answer to the nearest tenth.
33. ## trig

Find theta such as tan(theta) = cot(theta+45). Thanks
34. ## trig

solve for theta 6. tan theta=-1 7. sin(theta/2)=1/2 thank you for your help!
35. ## trig

if cot of theta is less than zero, and csc of theta is less than zero what quadrant is theta in?
36. ## trig

(sec(x) / (sec(x)-1)) - (sec(x) / (sex(x)+1)) = 2cot(x)csc(x)
37. ## Trig

Use a calculator to find θ to the nearest tenth of a degree, if 0° < θ < 360° and csc(θ)=1.4307 with θ in QII θ=?
38. ## trig

find in degrees the value of Ө in the interval O¡ÜӨ¡Ü 360 for which 2cos^2Ө-cosӨ-1=sin^2Ө give your answers to 1 decimal place where appropriate
39. ## Alg help

10(x-2) = 10 one solution no solution infinate solutions -2(y-3)= 2y- 6 one solution no solution infinate solutions
40. ## ALG. ASAP

The orbit of comet Hale-Bopp is an ellipse as shown below. The units are astronomical units (abbreviated AU). 1 AU ≈ 92,960,000 mi. (a) Find an equation in standard form of the orbit of the comet. (Enter your answer in terms of AU.) (b) The distance
41. ## alg.

1. You are planning to spend no less than \$6,000 and no more than \$10,000 on your landscaping project. a) Write an inequality that demonstrates how much money you will be willing to spend on the project. b) Suppose you want to cover the backyard with
42. ## 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
43. ## Trig

Please help. I can't get this problem at all. When two bubbles cling together in midair their common surface is part of a sphere whose center D lies on the line passing through the centers of the bubble. Also, angles ACB and ACD are 60 degrees. Show that
44. ## 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
45. ## Trig

A planes actual resulting ground speed and direction are 550 mph and N26E. A wind is blowing from the northeast. If the pilot is holding a course of N27E how fast is the wind blowing?
46. ## 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!
47. ## Trig Picture

maybe i drew it wrong... h t t p : / / i 3 2 . t i n y p i c . c o m / i p m k o 5 . j p g the way my teacher taught me the angle of depression was the anlge that is made with a horizontal line or something like that i believed i drew it right oh and by
48. ## High School Courses

How often do state colleges which are moderately competitive require trigonometry? Is trigonometry something like algebra that they expect you to have, or do they usually not care as long as you have the right number of math courses? Would it look better
49. ## trig

can someone tell me the answer to this problem? Fcos29(degrees)-0.58(fsin29/362.6)=0 What does Fcos and fsin mean? Is f a variable? If F is an unknown and f is another unknown, F cos 29 = 0.58(f sin 29)/362.6 0.8746197 F = 0.00077548 f 1127.8 F = f If F =
50. ## 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.
51. ## trig

A car is traveling at 34 miles per hour. If its tires have a diameter of 14 inches, how fast are the car’s tires turning? Express the answer in revolutions per minute and round to two decimal places.
52. ## trig

A car is traveling at 34 miles per hour. If its tires have a diameter of 14 inches, how fast are the car’s tires turning? Express the answer in revolutions per minute and round to two decimal places.
53. ## alg2/trig

starting salary for a job is \$30,000 with a guaranteed raise of \$5,000 each year for the first 5 years. write an explicit formula to represent how much money you would earn each year. please somone help!
54. ## TRIGONOMETRY

Can someone please show me step by step how to calculate the modulus and the argument for these complex numbers? I have a trig final next week and I am trying to finish this study guide so I am prepared. Thank you so much! If you can, please show my how
55. ## Math- Alg 2

Help finding probability involving combinations? What is the probability of winning in this game ( Show calculation and all works) - The board is a number ranging from 1 - 12 - Player place a coin in the desire number 1,2,3,4 etc. - Roll 2 dice - To win
56. ## Trig

Given that tan θ = - (√3/8) and θ is in QII, find the exact value of a. r = b. csc θ c. cos θ d. cot θ
57. ## Trig

Solve the following interval 0<_ (less than or equal to)0(Theta)<2pi: 1. sin0(theta) + sin2 0(theta) = 0 2. 2cos^20 (theta) + cos0 (theta) -1 = 0
58. ## trig

what angle in degrees am i if the following is true: sin t > cos t if i were in quadrant three, sin t=cos t
59. ## trig

how do i set this problem up? Find tan (s + t) given that sin s = 1/4, with s in quadrant 2, and sin t = -1/2, with t in quadrant 4.
60. ## trig

How do you solve for these identities: 1-sin^2è/cosè= cosè sin^4è-cos^4è=2sin^2è-1
61. ## trig

sin(theta)cos(theta)sec(theta)csc(theta) How do I simplify
62. ## Trig

If tan a= 12/15, 0 degrees < a < 90 degrees, then find the exact value of each of the following: A. Sin a/2 B. Cos a/2 C. Tan a/2
63. ## trig

Determine the least positive value of t for which d=0. d=cos((3pi/4)(t)) 0=cos((3pi/4)(t)) I got stuck on this step Please help
64. ## trig

Determine the least positive value of t for which d=0. d=cos((3pi/4)(t)) 0=cos((3pi/4)(t)) I got stuck on this step Please help
65. ## trig

If a, b are the solutions of the equation log base 3 (5-2x)+ log base 3 (5+2x)=2 find the value of the product ab.
66. ## Calc- Trig Substitution

integral of dx/square root(x^2-64) My answer is: ln (x/8 + square root(x^2-64)/8) +c is this right?
67. ## Trig

Find the exact value of: sin60-cos60. do I just type sin60-cos60 in my calculator? = .37
68. ## trig

sorry the first one I put in had a typo cosx/1-tanx + sinx/1-cotx = sinx +cosx
69. ## Trig

Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Sin(A-B).
70. ## Trig

Solve for 0≤x≤2π ---> (2√2)cos²(x)-(√2-2)cos(x)-1=0 much thanks .
71. ## trig

find the angle between vector U=<2,3> and V=<1,-5> answers: 88 degrees, 45 degrees, 135 degrees, or 92 degrees...?
72. ## trig

How do you find 2.8 revolutions per second in radians? I understand that two revolutions would be equal to 4pie but how do you find the 0.8?
73. ## Trig

Prove (3cosθ-4sinθ)^2+(4cosθ+3sinθ)^2=25
74. ## Trig.

I really need help so please help. write the first trigonometric function in terms of the second trigonometric function. sec x; tan x
75. ## mth, trig

Given cos a=-7/25 in quadrant II , and sin b=-12/13, in quadrant IV , find cos(a+b) and sin2a
76. ## Pre-Calc/Trig

State the domain and range for each function. y=2x^2/(x^2-1) domain: ? range: ?
77. ## trig

What is cos(11pi/3)? Explain your thinking. What is sin(13pi/4) ? Explain your thinking.
78. ## trig proof

Help anyone? I need both sides to equal. -2sinxcosx/ 1-sinx-cosx = 1+sinx+cosx
79. ## trig

Verify the identity sin 3x cos 3x = 1/2 sin 6x can you show step by step please
80. ## trig

Given Tangent theta = -5 on 4 and cos theta >0, find sine theta and sec theta
81. ## Trig

Solve each equation for the given domain. cos^2 theta + cos theta - 1 = 0 for 0-180.
82. ## trig

What seven points of x can I put on the x axis over the interval -2pi less than or equal to x less than or equal to 2pi
83. ## Trig problems

Part 1) Evaluate tan 7.5 Part 2) Evaluate exactly cos (-(45pi(4)))
84. ## trig

Find all solutions of the equation: 2 cosx + sqrt2 = 0 A) x = ð/4 + 2nð or x = 7ð/4 + 2nð B) x = 3ð/4 + 2nð or x = 5ð/4 + 2nð C) x = ð/4 + nð or x = 7ð/4 + nð D) x = 3ð/4 + nð or x = 5ð/4 + nð
85. ## trig

how does this work? (Sin2x+cos2x+2sin²x)/(sinx+cosx) = (sinx+cosx
86. ## Trig

tan^2t/sect=sect-cost cott^2/csct=csct-sint
87. ## trig

Establish the following identity: CosA/1-TanA + SinA/1-CotA = CosA-SinA
88. ## college/alg

1. You are planning to spend no less than \$6,000 and no more than \$10,000 on your landscaping project. a) Write an inequality that demonstrates how much money you will be willing to spend on the project. b) Suppose you want to cover the backyard with
89. ## college alg

A meat market has ground beef that is 40% fat and extra lean ground beef that is 15% fat. How many pounds of each(ground beef and extra lean) must be together to get total of 50 pounds of "lean" ground beef that is 25% fat?
90. ## Pre-Calculus-Trig

A lighthouse keeper 100 feet above the water sees a boat sailing in a straight line directly toward her. As watches, the angle of depression to the boat changes from 25 degrees to 40. How far has the boat traveled during this time?
91. ## 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)
92. ## ALG 2! plz help urgent!!

1.)Four times a certain number is the same as the number increased by 78. Find the number. 2.)A blue bike is \$14 less than a red bike. The sum of their prices is \$300. How much is the red bike? 3.)Alex is six years older than his sister, Emma. The sum of
93. ## 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
94. ## Trig/pre-calc

r=8cos(theta)+5sin(theta), convert the polar equation into a rectangular equation and then complete the square and determine the center radius...? Help?! I missed the section, and am not getting anywhere with the text...
95. ## Trig

A straight trail with a uniform inclination of 17deg leads from a lodge to an elevation of 900 feet to a mountain lake at a elevation of 5500 ft. what is the length of the trail? (im soo stuck on this problem)
96. ## 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
97. ## 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?
98. ## 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.
99. ## 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
100. ## Math - Trig

1. Given that points S and R on opposite sides of a lake, triangle SRT is formed. To find the distance RS across the lake, a surveyor lays off RT = 53.1 m, with angle T = 32deg 10' and anagle S = 57deg 50'. Find length RS.