# alg/trig

4,413 results, page 24

1. ### pre calc

express the followinf trig functions in terms of an acute angle. (a) cos 143 degrees (b) tan 192 degrees
2. ### trig

Is y equal to cotx, tanx, cosx, or sinx if its graph is periodic with a period of 2pi, an amplitude equal to 1, and it passes through the origin?
3. ### trig.

A 2000 pound car is parked on a street that make an angle of 12 degrees with the horizontal figure Find the force perpendicular to the street.
4. ### Math Trig

Find the Cartesian form of the parametric equation. x = (2a)(cot T) y = (2a)(sin^2 T) how? lol here's what i got y = (sin^2 T) y = (2a)y^2 y = 2a then? do the same for X? i'm stuck there
5. ### trig

A car travels around a circular track at 185 miles per hour. Is this a linear velocity or an angular velocity? Explain.
6. ### trig

a vertical pole 3 meters tall casts a shadow 1.8 meters long. what is the angle of the elevation of rhe sun to the nearest minute?
7. ### Trig/Math

Write the equation of the cosine function with an amplitude of 1, a period of 3pi/7, a phase shift of -pi/5, and a vertical shift of 2 units down.
8. ### trig

{Given: cos(A)=\frac: sqrt{203}/{18} {Find: tan(A) Find the positive value of the above in simplest radical form.
9. ### trig

draw the graph of 4sin(x+30) and 2+tanx for values of x from 0 degree to 360degree and obtain the solution within the range of the equation 4sin(x+30)-tan x=2
10. ### trig

ABC is rightangled triangle. AD is the bisector of angle BAC. Angle DAC=15 degrees. X=CD. Find X. I know the answer is 7.1 but do not know how to do the actual sum. Can you please help.
11. ### trig

ABC is rightangled triangle. AD is the bisector of angle BAC. Angle DAC=15 degrees. X=CD. Find X. I know the answer is 7.1 but do not know how to do the actual sum. Can you please help AB = 23 CM

Find the reference angle for -144 degrees. I'm coming up with 504 degrees, but I think I'm missing a step.
13. ### trig

Solve the equation for cos(3theta/2).tan(3theta/2)for greater than or egual to zero but less than 2pi. Write your answer as a multiple of pi.
14. ### trig

Suppose that the point P(13,-30) is on the terminal side of the angle theta in standard position. What is sin(theta)? Give your answer to the nearest thousandth
15. ### trig

If θ is an angle in standard position and its terminal side passes through the point (20,-21), find the exact value of sec(θ).
16. ### Trig

what is the amplitude, period, phase shift, and vertical shift of each equation? 1. y= A cos(B(x-3))+4 2. y=-2sin(2piX/3) 3. y=4cos(3pi(x+3)) 4. y= -3cos(2(x-pi/4))+0.4 thank you so much!
17. ### algebra-trig help asap

An isosceles triangle has a base 36 cm long and a base of 65 degrees. Find its perimeter. I'm not sure if this is right but my answer is 1250.4 in^2
18. ### algebra-trig help asap

Write an equation I'm not sure how to do this though. The sine of x with an amplitude of 4, period of 3(pie) and phase shift to the right of pie/4
19. ### trig

A tree casts a shadow of 27 meters when the angle of elevation of the sun is 26 degrees. Find the height of the tree to the nearest meter. a. 24 m b. 15 m c. 320 m d. 13 m
20. ### trig

two intersecting sides are 250ft and 170ft, angle between is 55 degrees. use the 250ft side as the base, what is the height of the triangle
21. ### trig

Given BC = 53 cm, BD = 62 cm, CD = 80 cm, ABC = 53°, and ACB = 66°, find the following. (Round your answers to the nearest whole number.) (a) the length of the chainstay, AC AC = cm (b) BCD BCD = °
22. ### Trig

Three circles with radii of 4, 5, and 6 cm, respectively, are tangent to each other externally. Find the angles of the triangle whose vertexes are the centers of the circles.
23. ### Trig

Solve the multiple-angle equation. (Enter your answers as a comma-separated list. Let n be any integer. Enter your response in radians.) sec 9x = 2
24. ### (pls help) Trig

point P and Q are respectively 24m north and 7m east of point R. What is bearing of Q and P to the nearest whole degree.(a)52(b)164(c)134(d)159
25. ### trig

if 60 m of fencing is available for a rectangular garden, one side of which is against a barn, what areb the dimensions of the garden that will give the maximum area?
26. ### Trig Identities

Explain why Sin of theta= -The square root of 1-cos^2 theta is not an identity, using either graphical or numerical reasoning.
27. ### trig

Given angle x, where 0 <= x < 360 (degrees), cos(x) is equal to a unique value. Determine the value of to the nearest degree. Justify your answer.
28. ### trig

Given angle x, where 0 <= x < 360 (degrees), cos(x) is equal to a unique value. Determine the value of to the nearest degree. Justify your answer.
29. ### trig

Given angle x, where 0 <= x < 360 (degrees), cos(x) is equal to a unique value. Determine the value of to the nearest degree. Justify your answer.
30. ### Trig. Math

A circle of radius 2 inscribed in a right triangle. Find the simplest expression possible for the triangle's area as a function of its hypotenuse.
31. ### Trig

Use the given information to evaluate sin (a-b). Exact answers. No decimals. Sin a = -7/25, cot b = 8/15; neither a nor b are in quadrant III.
32. ### Trig

Use the given information to evaluate sin (a-b). Exact answers. No decimals. Sin a = -7/25, cot b = 8/15; neither a nor b are in quadrant III.
33. ### math

Use Green's Theorem to evaluate F(x, y) = y cos x − xy sin x, xy + x cos x , C is the triangle from (0, 0) to (0, 4) to (2, 0) to (0, 0) I kind of understand how to do this , but I am having trouble with the trig
34. ### Math (trig)

A force of 35lb is required to hold a 72lb toolbox on an incline. What angle does the incline make with the horizontal? Please help me set this up.
35. ### trig

I need help setting this problem up. A force of 36lb is required to hold a 70lb toolbox on an incline. What angle does the incline make with the horizontal?
36. ### trig

1. The sides of a triangle, in centimetres, are given by 3n-4, 3n+9, 4n+5. Draw a diagram to show the information. If the perimeter of the triangle is 114 cm, find the length of each side.
37. ### algebra 2 and trig

The scores on a chemistry test are normally distributed. Approximately 95 percent of the scores fell between 78 and 92. What is the standard deviation for this distribution?
38. ### Trig

Find the exact value of csc 4pi/3 What I have determined thus far: 4pi/3 = 60 degrees sin = square root of 3/2
39. ### Trig

a road is inclined at an angle of 45degrees. After driving 300 feet along this road, find the driver's increase in altitude.
40. ### Precalculus

Rewrite as single trig function: sin(8x)cosx-cos(8x)sinx I know I can simplify sin(8x) into 4sin2xcos2xcos4x, but I'm stuck after that
41. ### Intro to Trig

Which of the following best corresponds to the x-value where the function f(x)=cos x is a minimum in the interval x = [25,30]? A) 25.1 B)26.7 C)28.3 D)29.8 Can someone show me how to solve this step by step? Thanks :)
42. ### Trig help

Find the cos(Θ) of an angle in standard position if the terminal side passes through the point (4, -8). -2 -2/sqrt5 1/sqrt5 2 I think it is C but I am not so sure.
43. ### Trig

Find the derivative. {sqrt(x+8)}*(x^2+20x) (x+8)^1/2(2x+20) minus (1/2)(x+8)^-1/2(x^2+20x) I'm not feeling confident I am on the right track and I have a quiz tomorrow over this.
44. ### Trig

the graph of an inverse trigonometric function passes through the point (1,pi/2). which of the following could be the equation of the function Y=Cos^-1 x Y=cot^-1 x Y=Sin^-1 x Y=Tan^-1 x
45. ### trig

If a triangle has an area of 50 square units and has angles that measure 15, 65, and 100 degress, find the length of the shortest side to the nearest tenth. Do not round till the final answer.
46. ### trig

If a triangle has an area of 50 square units and has angles that measure 15, 65, and 100 degress, find the length of the shortest side to the nearest tenth. Do not round till the final answer.
47. ### 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)
48. ### 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
49. ### TRIG

Verify the following identity. 1) sin(x+y) __________ = tanx+tany cosxcosy 2) Write cos3x in terms of cosx I cannot figure out how to solve for identities they are so hard. Any help appreciated!:)
50. ### 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 that?
51. ### 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?
52. ### Trig

Find the exact value of cot(-pi/6). I don't have a lot of work for this one all I have is 30 I guess that was suppose to be the reference angle. answer .58
53. ### trig

Solve the given triginometric equation analytically. Use values of x for 0 less than or equal to x less than 2pi P.S Thanks Reiny for your last post, if you are still online.
54. ### trig

can you please show me in steps how to find f(1+a) in this equation f(x)=-2x^2+4x+6 i know that you will plug in 1+a anywhere there is x. but after that i get confused. also can you tell me how to find the domain and range of a relation for ex. 2x+5y=10 thanks for your help!
55. ### trig

In a regular octagon, AB is a diagonal and CD joins the midpoints of two opposite sides. The side length of the octagon is 4 cm. To the nearest tenth of a cm. find a)AB and b)CD. I'm stumped.
56. ### Calculus

Am I allowed to multiply an entire integral (on the inside AND the outside) by negative 1? I have a potential trig identity in the integral that will only work if it's multiplied by -1...
57. ### trig/math

A stained glass window is composed of 20 triangular sections, each with sides 6, 8, and 7inches. Find the total are of the window( to the nearest square inch).
58. ### trig

In a right triangle the hypotenuse is 100meters,and alpha, the angle adjacent to the shorter leg. If cos alpha=1/2, find the measures of the two legs.
59. ### trig

A missile is fired at an angle of 85 from the horizontal. At one point, its speed was 1,000 mph. Find its horizontal velocity in miles per minute
60. ### trig

Let µ be an angle in standard position that contains the point with co- ordinates (-5;-12) on its terminal side. Determine the values of the six trigono- metric functions of angle µ.
61. ### trig

the terminal side of an angle theta in standard position coincides with the line y=5x and lies in quadrant 3. find the six trigonometric functions of theta.
62. ### Math/Trig

Write the sine function with an amplitude of 1/4, a period of 3pi, phase shift of pi4 to the right, and a vertical shift of 4 units down.
63. ### trig

The lengths of 2 adjacent sides of a parallelogram are 42 cm and 36cm. an angle of the parallelogram is 4o degrees. Find the measure of the longest diagonal to the nearest tenth of a centimeter.

A tire with a diameter of 100 cm rotates 20 times in 3 seconds. a) determine the angular velocity b) how far the tire has travelled? c) what is the speed in km/h?
65. ### TRIG HELP ASAP

I really need help on this problem. A sector has area of 15 in^2 and central angle of 0.2 radians. Find the radius of the circle and arc length of the sector
66. ### trig

A 100 kg box slides with constant velocity down a ramp inclined at 20 degrees, with the horizontal. Find the frictional force acting on the box.
67. ### trig

Give the component form of the resultant vector in the following. NOTE: Answer must be typed in using the following format -- including the parentheses: (#,#). u =(10, 5) -3u=
68. ### trig

my question is find all angles of theta and 2pi whose reference angle is alpha = pi/12. Give exact answers. i cannot for the live of me find this
69. ### Math (trigonometry)

How do you solve this trig identity problem without factoring? I just used @ to represent theta: sin^4@ + 2sin^2@cos^2@ + cos^4@ = 1
70. ### trig

Solve sin θ = -0.204 for 90º < θ < 270º. Give your answer to the nearest tenth of a degree. Honestly have no idea how to do this.
71. ### trig

Write the expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression. 2tan 2pi/3 / 1-tan^2 2pu/3
72. ### trig

estimate the components of the vector. Round to one decimal place. [v] = 33.9, θ = 65.9° Find the horizontal and vertical components of v, and write in component form.
73. ### Math: Trig

What is Arcsec(-2) equal to and how can you find the correct answer? I got 2pi/3 but it was marked wrong on my test and I'm not sure why it's wrong. Can you please explain this to me? Thanks!
74. ### Pre-Calc/Trig...

Am i correct? It is possible for a system of linear equations to have no solutions. True <-- False i think it's true, if the lines are parallel?
75. ### Calculus/pre-trig

Write the formula for the discriminant. State the types of roots for a quadratic equation, explaining how the discriminant helps you determine the type.
76. ### Trigonometry

find the value for the indicated trig function for ø, if ø is an angle in standard position with the terminal side defined by the given point. (18,24); find cos ø
77. ### Trig identity inverses

Find the exact value of cos[cot^-1 (-√3) + sin^-1 (-1/2)]. I'm having trouble with inverses. Please help by showing work.
78. ### Trig help

Can someone help me find ALL solutions in the interval [0,2π) for the given equations. Please show work. 1) sin2x = sin2x 2) tan2x +tanx = 0
79. ### 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 allocated to type A ...
80. ### trig

prove that (2cosx+1)(2cosx-1)= 1 +2cos2x
81. ### trig

Solve the following for x, where 0 < x < 2 pi. 2 cos^2 x + cos x = 1
82. ### trig

prove: cos*2x=csc*2x-2/csc*2x
83. ### trig

How do I solve for theta in tan theta = -1?
84. ### trig

sec^2x/tanx -(tanx) how to simplify
85. ### trig

if tan(2x+18)degrees = cot(4x-12)degrees
86. ### trig

prove that cos 52 + cos 68 + cos172 = 0
87. ### Algebra 2 Trig Honors

logof3(x-1)+ logof3(3x-1)=2
88. ### Trig

Verify:cos(360degrees-x)=cos x
89. ### trig

csc^2x secx/sec^2x+csc^2x
90. ### trig

prove as an identity 1/1+sin(x) + 1/1-sin(x)
91. ### trig

Find sec theta if theta=3/4 in Q1
92. ### trig

1-cos/1+cos= 2(cosec-cot)
93. ### trig

If (cosa-sina)/sina = 2 , then what is tga = ?
94. ### Trig - Thanks Damon

Thanks for the help Damon. Much appreciated. Don
95. ### Trig

(sin/cos)/ ( 1/cos - 1) = I'm stumped
96. ### trig

how to graph y = 1/2 cos 2x for 0 ≤ x ≤ 2 p
97. ### trig

Which expression is equivalent to cos(4x) + cos(2x)?
98. ### trig

inverse tan x = inverse cos 4/5
99. ### trig

on a triangle, A = 50 degrees, B = 81 degrees, and c = 12. what does a, b, and C equal?
100. ### trig

tan^2theta+6=sec^2theta+5