# alg/trig

4,424 results, page 20
1. ## trig

It's in sigma notation, so I'm not sure how to type it. I'll just use E lol. Find each sum. 6 E (n+1)/(n+2) n=1 Is this a geometric or arithmetic series? That is pretty much all I really need to know. I appreciate all the help you guys give.
2. ## trig

Rewrite the expression in terms of the first power of the cosine. Use a graphing utility to graph both expressions to verify that both forms are the same. 5 sin6(x)
3. ## Math-Trig

Answer to four significant figures, or to the nearest minute. f) one vertex angle of a rhombus is 25°. Find the ratio of the diagonals.
4. ## precalc/trig

Solve the Logarithmic equation algebraically. Give an Exact Answer and an approximation for x to four decimal places. 20 log(2x+2)=45
5. ## trig

Solve for ¥è in the equation tan ¥è = 2.42 when 180¨¬ < ¥è < 360¨¬. Round your answer to the nearest tenth of a degree. (Enter only the number.)

state the amplitude, period, and phase shift of the function -0.4 sin (10x+pie/2)
7. ## trig

Evaluate giving exact values and identities. Calculator based solutions are not acceptable. Thanks for any help cos (4pi/3 – 3pi/4)
8. ## trig

Given angle x,where 0 <= x <= 360 (degrees) solve for to the nearest degree. a)cos(2x) = 0.6420 b)sin(x + 20) = 0.2045 c)tan(90 - 2x) = 1.6443
9. ## Algebra 2/Trig

We just started logarithms and exponential functions, and I'm kind of getting the gist but not really. Here is what I tried on one of the homework problems: 2^X=4^X+1 1)2^X=(2^2)^X+1 2)x=x+1 3)0=1 or no solutions I wasn't sure what to do between steps 1
10. ## trig

A hiker walks 900m east and 500m south .Find the bearing of the finishing position from the staring point?
11. ## Math Trig

I can't seem to get the right answer on my assignment. I keep on getting 276.403 and seem to get it wrong. Please help. Suppose that cot(θ)=−8.91 and 0∘≤θ<360∘ Find the two distinct angles.
12. ## Trig

The polynomial function f(x) is defined by f(x)=-4x^4+9x^3+2x^2-7x-2. Use a graphing calculator to find all the points where there is a local minimum. Round to the nearest hundredth.

The area of a circle is 18pi square meters. What is the radius (leaving answer in simplest radical form)
14. ## trig

using a right triangle with one angle 24 degrees and the opposite side being 57 feet, write an expression to fine the hypotenuse, X? X=57/sin(24) is this correct?
15. ## Trig. Math

The mean score on a normally distributed exam is 42 with a standard deviation of 12.1. Which socre would be expected to occur less than 5% of the time? 1) 25 2) 32 3) 60 4) 67 -I know the answer is 67, but i don't know why .. PLEASE help!
16. ## Pre-Calc/Trig..

Write a function for the graph described as a transformation of y=x^2 y=x^2 experiences a vertical stretch of factor 2 and then a shift right of 3 units.
17. ## Math/Trig

Find the area of the sector, given a central angle of 55degrees and a radius of 5.7 in. Round your answer to the nearest tenth.
18. ## trig

"Two points A and B on the circle x^2 + y^2 = 49 form a central angle of 30 degree with the radii draw to them. Find the length of the arc AB in term of pi?"
19. ## trig

Use a table of trigonometric values to find the angle è in the right triangle in the following problem. Round to the nearest degree, if necessary. cos è =0.9659 A=? H=20
20. ## Integrated Trig

How many years will it take for an initial investment of \$5,000 to double if it is invested at a rate of 3% compunded continuously? Compounded annually?
21. ## trig

Sketch a unit circle and label the terminal points corresponding to t= pi/4, 3pi/4, 5pi/4, 7pi/4. Include the coordinates of each point
22. ## trig

Solve the given triginometric equation analytically. Use values of of x for 0 less than or equal to x less than 2pi sin^2x - 2sinx = 1 How do I get towards the answer of 3.569, 5.856 Thank you again
23. ## Trigonometry

Simplify the expression using trig identities: 1. (sin4x - cos4x)/(sin2x -cos2x) 2. (sinx(cotx)+cosx)/(2cotx)
24. ## Alg 1

A baseball player hit a ball with an upward velocity of 46 ft/s. Its height h is feet after t seconds is given by the function h = -16t^2 + 46t + 6. What is the maximum height the ball reaches? How long will it take the baseball to reach the maximum
25. ## Alg 1

Diana is driving 182 miles to Orlando for a math convention. She has already driven x miles of th trip. If Diana drives below 70 miles per hour for the remainder of th trip, which inequality best represents the amount of time in hours, t, that is will take
26. ## 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
27. ## alg

the thickness of a book is determined by the thickness of its cover and its pages. the front and back covers of a book like this one are each about 3 mm thick and every 25 pages adds an additional millimeter to the thickness. let nb be the number of pages
28. ## Math

The area of a regular pentagon with a perimeter of 35 units. Join the centre to each vertex to form 5 eq Join the centre to each vertex to form 5 equal triangles. Consider one of those triangles the central angle is 72º and each of the other two equal
29. ## alg 1 help?

If A = {0, 1, 2, 3} and B = {c−3, −2, −1}, what is A ¿ B? ? help?:(
30. ## Alg 1

Tamika’s dad bought a Mustang convertible for 12,000 dollars to celebrate his first job in 1978, which paid him 15,000 dollars a year. If Tamika is to use the same fraction of her salary as her dad to buy a Mustang convertible, which now sells for 32,000
31. ## Trig

A ferris wheel at the fair has a radius of 60 feet. If it takes 24 seconds to make a full revolution, what is the linear speed for the passengers?
32. ## trig

find the next two positive and negative angles coterminal with the quadrantal angle. 90 degrees. would the answer be..... would it be 450, 810?????? and -630, -270 ????
33. ## Math/Trig

Find the length of the intercepted arc with radius 2.5 cm and a central angle of 95degrees. Round your answer to the nearest tenth.
34. ## Trig

Last question! Just seeing why I’m getting these wrong In a right triangle with a leg of 4 and a hypotenuse of 8, find the measure of all angles. Correct answer: 30deg, 60deg, 90deg How?
35. ## trig

Write cot(t) in terms of sin(t) if the terminal point determined by t is in the first quadrant. Do not leave a fraction inside a radical or use absolute value.
36. ## trig

Two ships, one sailing at 30 km/hr and the other at 45 km/hr, left port at the same time. Three hours later they were 120 km apart. If you had to find the angle between their courses an equation that could be used to solve this problem is:
37. ## trig/math

Two ships leave a harbor together traveling on courses that have an angle of 124° between them. If they each travel 511 miles, how far apart are they (to the nearest mile)?
38. ## Pre-Calc/Trig

Identify the extrema for the function. Classify it as a relative (local) or absolute (global) maximum or minimum value. f(x)=4x^3-12x^2+15
39. ## trig

use sum or difference identities to find the exact value of the trigonometric function: tan 345 please show work, i cant figure out what im doing wrong!

solve for x, to the nearest degree, in the interval 0degres less than andequal to x greater than and equal to 360degrees. cos^2x=1 4cos^2x=1
41. ## trig

Find the radius of a circle which a 59-foot chord subtends an angle of 12degrees at the center. I Just Want To See The Illustration. I Can Handle The Rest. Thank You In Advance =)
42. ## Math/Trig

Find the length of the intercepted arc, given a central angle of 3pi/5 and a radius of 4.5 cm. Round your answer to the nearest tenth.
43. ## Trig calc

Find the coordinates of the point at -45 degrees on a circle of radius 3.6 centered at the origin. Round your answers to three decimal places.
44. ## trig

a sailor on a boat 580 metres from the base of a vertical cliff sights the top of a lighthouse with an angel of elevation of 31 degrees
45. ## trig

Find all angles in degrees that satisfy the equation. Round approximate answers to the nearest tenth of a degree. tan α = -1.85
46. ## Functions & Trig

evaluate each function at the given value: f(n)=-n^6+31n^4+26n^3+20n^2+-33n-20 when n=6 I was thinking that I should do synthetic division, but I've tried it a few times and I can't get it to work out correctly. Please help!
47. ## Functions & Trig

evaluate each function at the given value: f(n)=-n^6+31n^4+26n^3+20n^2+-33n-20 when n=6 I was thinking that I should do synthetic division, but I've tried it a few times and I can't get it to work out correctly. Please help!
48. ## trig

Sketch the graph of one cycle of tan(x)(pi/2=1.5708) and give the requested information Domain: Range: Period(wavelength): Asymptotes:
49. ## trig

What is the shortest possible length of a triangle side facing an angle of 20 degrees, if one of the other sides is 5? (answer should be a decimal number, correct within 0.001)
50. ## trig

sketch one cycle of y=-3 sin 0 i know you guys wouldnt be able to draw it for me on here, but is this able to do on a graphing calculator, or could u explain the steps needed to do this problem? thanks in advance
51. ## Alg 1 quadratic functions

A baseball player hits a baseball into the outfield. The equation h= -0.005x^2 +x+3 give the path of the ball, where (h) is the height and (x) is the horizontal distance the ball travels. A. What is the equation of the axis of symmetry? It's -100 right? B.
52. ## Math Alg 1

I never understood the system of inequalities and using a graph, help? Plot the graph as if there were an equal sign instead of > or < ; then use logic to decide where (which side of the line) the possible solutions exist. Example: for x>2, Plot
53. ## math ALG 2!scientific notations helpp

1.)Write the following value in scientific notation. 23,000,000 2.)Write the following value in scientific notation. 7,400,000 3.)Write the following value in scientific notation. 0.00000021 4.)Write the following value in scientific notation. 0.00003165
54. ## math ALG 2!scientific notations helpp

Write the following value in scientific notation. 23,000,000 Write the following value in scientific notation. 7,400,000 Write the following value in scientific notation. 0.00000021 Write the following value in scientific notation. 0.00003165 Which value
55. ## College Alg.

An investor has up to \$650,000 to invest in two types of investments. Type A pays 13% annually and type B pays 7% annually. To have a well-balanced portfolio, the investor imposes the following conditions. At least one-half of the total portfolio is to be
56. ## pre-cal/trig

PlEASE help me with this!! I need it as soon as possible....... cos(x-(pi/4))+sin(x-(pi/4))=1 Find the answer from 0 to 2pi. When I slove this, I got cosx+sinx=(1/ square root of 2). then I don't know what to do the rest. Please help me.
57. ## Math Trig

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side? Please explain how!
58. ## trig

How would I solve the following equation for x? 2 sin^2(x) + 3 tanx secx = 2 I've tried the problems from different approaches, but couldn't come up with a solution. Could you please provide your thought process. It would be greatly appreciated. Thanks!
59. ## Math - Trig

A projectile is fired with an initial velocity of 88 ft/sec at an angle of 35° to the horizontal. Neglecting air resistance, what is the time of impact? I just can't figure it out.
60. ## 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
61. ## Applied calculas

Let y=〖tan〗^(-1) x Rewrite it as an equation involving a trig function. Use implicit differentiation to determine an expression for y.
62. ## trig

Simplify and write the trigonometric expression in terms of sine and cosine: cot(-x)cos(-x)+sin(-x)=-1/f(x)=f(x)=____________ I've tried everything, I think that the "-1/f(x)" part is screwing up my answer but I'm not sure what it's asking me to do with
63. ## trig

a plane flies due east for 500 km. and then turns on a heading of 120 degrees for 150 km. What are its distance and bearing from its starting point?
64. ## Trig

Sketch a unit circle and label the terminal points corresponding to t= pi/4, 3pi/4, 5pi/4, 7pi/4. Include the coordinates of each point. I have 3 other problems like this and i have no clue how to do them. can someone help please?
65. ## Trig

Solve the equation for the given domain. 4cos^2 θ = 1 for 0 to 360 degrees. I get 60, 120, 240, and 300. Are these correct? If so, how would I represent them with some sort of expression?
66. ## applied calculus

Let y=〖tan〗^(-1) x Rewrite it as an equation involving a trig function. Use implicit differentiation to determine an expression for y.
67. ## Math Trig

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side? Please explain how!
68. ## More trig

Use the Quadratic Formula to solve the equation in the interval [0,2pi). Then use a graphing utility to approximate the angle x. (1) 5/(tanx+secx) (2) 4cos^2x-4cosx-1=0 Thank you.
69. ## trig

how do i evaluate using formulas? i did almost the entire thing, but i can't finish the problem because i don't know how to simplify it: tan(-5/12pi) i can get until this part: = (-6pi/24)+(4pi/24) / 1-(-2pi/24)
70. ## Calculus

Find the positive value of x which satisfies x = 4.3cos(x). Give the answer to six places of accuracy. Remember to calculate the trig functions in radian mode
71. ## Math/Trig

Find the radius of a circle with a central angle of pi/7 and a length of the intercepted arc equal to 7.7 cm. Round your answer to the nearest tenth.
72. ## Trig

2cos^2Beta-Cosbeta=0 (find all solutions for the equation in the interval 0, 2 pi). I have no idea how to go about doing this. Do you isolate the beta on one side? Would you be able to show me how and I'll solve for you to check?
73. ## Math/Trig

Find the radius of a circle with a central angle of pi/7 and a length of the intercepted arc equal to 7.7 cm. Round your answer to the nearest tenth.
74. ## Trig.

Hey I am doing test corrections and need help, Which of the following inverse functions are defined for x=-1/2 ? Select all that apply. Y=tan^-1 x Y=cos^-1 x Y=sin^-1 x Y=csc^-1 x Y=sec^-1 x Y=cot^-1 x
75. ## Trig

Find all solutions of the equation in the interval [0,2pi). sqrt(3)cottheta-1= 0 Write your answer in radians in terms of pi. If there is more than one solution, separate them with commas.
76. ## Math (Trig)

Convert the Cartesian coordinate (-1,2) to polar coordinates, 0≤θ<2π I know r is sqrt(5) but how would I find theta between 0 and 2pi? Thanks in advance!
77. ## Trig

Find the exact value of: cos315. I have to use the sum angle formula cos(270+45) cos270 cos45 - sin270 sin45 thats all I have. Is the answer at least sqrt 2/2?
78. ## Alg 1

The quadratic formula and the discriminat. The daily production of a company is modeled by the function p=-w^2 + 75w - 1200. The daily production, p, is dependent on the number of workers w, present. If the break-even point is when p=0, what are the least
79. ## Calculus

Okay so I have a question on my assignment that says: You are given that tan(y) = x. Find sin(y)^2. Express your answer in terms of x. I know its derivatives, and I've tried taking the derivatives of both etc, and got them both to come out as cos(y)^2,
80. ## alg

2. Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was \$1.26 and in January 2006 the price of regular unleaded gasoline was \$2.31 (Bureau of Labor Statistics, 2006). Use the coordinates (1997,
81. ## alg. Connections

Lucy wants to be exempt from her semester exam. In order for that to happen, she has to average an 85 over 3 test grades. Her first 2 test grades were 81 and 86. What does Lucy need to make on her third test in order to have an exact average of 85 and be
82. ## Math C30 ( trig )

Solve : cosxtanx + root3cosx - root3/2tanx - 3/2 = 0 Give exact answers and formula for the general solution as well as the specific solutions.. Help
83. ## trig

in a circle of radius 26, find the length of the arc spanned by a central angle of pi/4 radians. round your answer to 2 decimal places. use 3.1416 as an approx for pi.
84. ## Precalc/Trig 2

The point P lies in the 4th quadrant and is located on a circle of radius 2. Find the missing coordinate for P. (___, (negative square root of 3)).
85. ## trig

Find all solutions of cos (x) + 1/2 sec (x) = -3/2 in the interval (2pi, 4pi) (Leave your answers in exact form and enter them as a comma-separated list.)
86. ## maths

in right angled triangle ABC, angleBis90 degree and C is an acute angle of60degree. Also sin m<C=c/b. Find the following trig ratios.(a)mBC/mAB (b)cosec30degree
87. ## 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)
88. ## trig

find, to the nearest tenth of a meter, the length of the arc intercepted by a central angle of 160 degrees if a radius of the circle in 8 meters long
89. ## trig

Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trigonometric functions of t whenever possible. 2pi 3pi/4 5pi/6 Three questions. I think those are supposed to be t.
90. ## trig

find, to the nearest tenth of an inch, the length of the arc intercepted by a central angle of (4pi)/3 radians if a radius of the circle is 22 inches long
91. ## trig

if x and y are positive acute angles, tan x=1/3and tan y =1/4, find the value of sin(x-y)
92. ## trig

Use a graph of the cosecant function to find the value of theta for which csc theta equals 1.
93. ## Math/Trig

Which logarithmic equation is equivalent to L^m = E 1) LogL E = m 2) logE L = m 3) logm E= L 4) logE m= L
94. ## trig

prove the identity sec^2x times cot x minus cot x = tan x
95. ## trig

If A+B+C=^(^=180) prove that sinA + sinB - sinC = 4sinA/2 sinB/2 cosC/2
96. ## trig

if tan x= 4/3 and pip < x < 3pi/2, and cot y= -5/12 with 3pi/2 < y < 2pi find sin(x-y)
97. ## Trig Help (URGENT)

Solve over the indicated interval: 2sin^2x=sqrt2sinx , [-180,180) don't how to get x by itself please help and thank you
98. ## trig

Find the maximum and the minimum values of sinx + cosx and the smallest value of x which they have these values
99. ## Trig

Solve the equation in the interval [0•,360•] Csc theta = 1+cot theta
100. ## Trig

triangle with side lengths 172m, 155m, and 155m. calculate the area.