# alg/trig

4,424 results, page 29
1. ## Trig

solve to four decimals places 5.0118 sinx - 3.1105=0 :for all real x values I will be happy to critique your work. Solve for sinx, then arcsinx
2. ## Precalc/Trig Word Problem

From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23 degrees. How far is the ship from the base of the lighthouse?
3. ## aleg/trig

two forces of 14and 30 act on a body forming an obtuse angle w/ eachother. if the resultant is 60, whats the angle betweeen the 2 forces?
4. ## trig

A kite string is 65 metres long and makes an angle of 32 degrees with the ground. Calculate the height of the kite above the ground to the nearest metre.
5. ## trig

The angle of depression of the top and bottom of a tower as seen from the top of a 100m high cliff are 30degree and 60degree respectively. find the height of the tower
6. ## Trig

The lengths QR, RP, and PQ in triangle PQR are often denoted p, q, and r, respectively. What do the formulas 1/2 pq sinR and 1/2 qr sin P mean? After you justify the equation 1/2 pq sinR = 1/2 qr sin P, simplify it to a familiar form.
7. ## Trig

A plane if flying at 200 mph with a heading of 45 degrees and encounters a wind of 100 mph from the west. What is the resulting velocity and heading?
8. ## 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
9. ## 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
10. ## trig

Two sides of triangle CDE are 9 and 4, as shown. Write an equation in standard form for the line CD. Leave values as radicals. There is a picture of a triangle that passes through point (4,0) The answer is 65^1/2x + 4y = 4(65^1/2) But, I don't understand
11. ## Trig

A Person is riding a bike with wheels that have a 14 inch radius at 15 mph. The bicyclist rides over some gum which sticks in the tire, assume this is t=0. 1. Find a function that gives the height in inches above the ground of the gum, with input is second
12. ## 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 :)
13. ## trig

Question Part Points Submissions Used The angle of elevation to the top of a very tall Building is found to be 7° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building.
14. ## trig

On a typical day at an ocean port, the water has a maximum depth of 18m at 6:00 am. The minimum depth of 9m occurs 6.8 hours later. Write an equation to describe the relationship between the depth and time.
15. ## 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
16. ## 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)
17. ## 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)
18. ## Trig

Find all values of theta where 0degrees<theta<360 degrees when csc theta = square root 2 Please detail how/why i can get to the solution. I need to understand the concept clearly...... It will probably relate to something taught down the line I'm
19. ## trig

give the exact real number value without using a calculator sin[(cos^-1)(1/4)] sin[(tan^-1)(3/4)+(tan^-1)(12/5)]
20. ## trig

Multiply: 5(cos Pi/3 + i sin Pi/3)times 2 (cos Pi/4 + i sin Pi/4) and leave the answer in trigonometric notation.
21. ## trig

CSC(theta)=1.92 Find Theta. Now I know CSC = 1/sin but no matter how I enter it into my cal I get an error.
22. ## Trig

Find three additional polar representation of the point (-3, pie over 6) given in polar coordinates,using -2 pie <0 <2pie.
23. ## trig

sin2 theta = cos theta, 90 degrees less than or equal to thetha greater than 180 degrees
24. ## trig

right triangle has an acute angle of 24.8 and an adjacent length of 145 what is the side opposite of the acute angle
25. ## trig

Solve the equation 2 tan C - 3 = 3 tan C-4 algebraically for all values of C in the interval 0 degrees <_ C < 360 degrees
26. ## trig

A sinusoid (sine curve) rises from a minimum value of y=-8 at x=0 to a maximum value of y=40 at x=50. Write a sine function for this curve
27. ## Trig

rewrite in polar form x^2+y^2-6y-8=0 r^2=6r+6sin theta +8 r^2=6rsin theta +8 r^2=6r+6cos theta +8 r^2=6r cos theta +8

Use a cofunction to write an expression equal to csc(4ð/11). Is the answer csc(4ð/11)= 1/sin(4ð/11)
29. ## Trig

What is the total number of solutions for the equation 3 tan^2 A + tan A – 2 = 0 in the interval. 0 ≤ A ≤ π?

31. ## trig

Prove the identity sin squared 0 with line/2 = csc zero with line -cot zero with a line /2csc zero with a line
32. ## trig

Let (theta) be an angle in quadrant II such that csc(theta)=8/5 Find the exact value of tan(theta) and cos(theta).
33. ## trig

Let (theta) be an angle in quadrant II such that csc(theta)=8/5 Find the exact value of tan(theta) and cos(theta).
34. ## trig

Angle θ lies in the second quadrant, and sin θ = 3/5. Find cos θ and tan θ.
35. ## math 30 Trig

A central angle subtends an arc of 35 cm. If the radius of the circle is 12 cm, what is the measure of the central angle?
36. ## trig

cos/sin use 2npi and tan uses npi, but how do you know when to add 2npi or npi to the solution of the equation?
37. ## trig

suppose sin(x)=4/5 and cos(y)=-12/13, and x and y are in the second quadrant. determine the value of each expression: sin(x+y), cos(x-y), cos2x, sin2y.
38. ## trig

a plane is 50000 ft in the air and 30000 ft from an airport find the angle of depression from the plane to the airport
39. ## trig

if theta is an angle in standard position and B(-3,4) is a point on the terminal side of the angle, what is the value of sin theta?
40. ## trig

find an expression equivalent to sec theta sin theta cot theta csc theta
41. ## trig

verify the identity (tanx+cotx) (1) __________ = ______________ (tanx-cotx) (sin^2x-cos^2x)
42. ## trig

Find z1z2 and z1/z2 for the pair of complex numbers using trigonometric form. z1=4+9i, z2=-5-5i I got z1z2 = 25-65i But cannot find the z1/z2.
43. ## trig

Given csc theta= 4, cot theta < 0 Find the exact values of cos theta and tan theta
44. ## trig

tan^2x/1 + tan^2x = sin ^2 x
45. ## trig

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

Tan^2= csc^2 tan^2 -1
47. ## trig

sec(sq) X - Sec(sq) X * Sin (sq) X = 1
48. ## trig

sin [sin -1 (7/25) - cos -1 (-8/17)]
49. ## trig

solve log(x +9) - log x=3
50. ## Trig

Solve Log[8](log[5]x)=0
51. ## trig

cot^2/1 + cot^2 = cos^2
52. ## trig

simplify cos(30+x)+cos(30-x)
53. ## Trig/precalc

Cos[x + (7 Pi)/4] + Cos[x - (7 Pi)/4] = 1
54. ## trig

find the indicated vector. let u = (-9,1), v=(-5,9). Find 3u+v
55. ## Trig

cot (tan + cot) = ?
56. ## Trig

cos[(tan^-1(3/4))+(cos^-1(9/41))]
57. ## Trig

A playground slide starts 107cm above the ground and is 250cm long. What angle does the slide make with the ground? Give the answer to the nearest degree.
58. ## 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?
59. ## TRIGONOMETRY

Can someone please give me a step by step answer on how to find the complex cube roots of 8(cos(4π/5)+isin(4π/5))? I need to know how to do this for my trig final next week.
60. ## trig

A wheel with a 22 inch diameter is turning at the rate of 31 revolutions per minute. What is the linear speed of a point on the rim, measured to the nearest inch per minute?
61. ## 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)|.
62. ## Trig

Solve, algebraically or with justification (no graphing calculator solutions allowed), the following equation: tan⁡7x-sin⁡6x=cos⁡4x-cot⁡7x
63. ## trig

find the exact solutions (è in degrees) sin^2è+2cosè=-2 change the sin^2 to 1-cos^2, then rearrage the equation into quadratic form, use the quadratic equaion.
64. ## inverse trig HELP PLEASE!!

Write the general solution to y = arcsin (0.6428). 40°±360°k 140°±360°k 220°±360°k 320°±360°k How do I find the right answer? I am like seriously stuck. I need help please.
65. ## Trig right triangle

A ship leaves port at 6 am and heads due east at 20 knots. At 10 am, to avoid a storm the ship changes course to N 47°. Find the ships distance from port at 4 pm.
66. ## Geom./Trig.

an airplane flies directly overhead at 540mph. 1 minute later is seen at an angle of elevation of 34 degrees. how far did the airplane fly during that time? what is the elevation of the plane?
67. ## trig

a propeller turns at 300 rpm. Find the angular speed in rad/sec and the linear speed at the tip if the tip to the center is 30cm
68. ## trig

An airplane has air speed of 540 mph and a heading of 50*. The wind is blowing from the north at 27 mph. Find the plane's ground speed and course direction.
69. ## 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
70. ## math algebra trig

For the graph of each function, find an equation of the line of symmetry and the coordinates of the vertex. Tell whether the value of the function at the vertex if a maximum or a minimum: a) y = -x^2 + 4x - 7; b) y = 2x^2 + 4x; c) y = -3x^2 - 18x + 5.
71. ## trig

whats the horizontal distance traveled by a model rocket launched with an intitial speed of 120 feet per second when the rocket is launched at an angle of 60 degrees
72. ## Alg 1

Issa is driving to the airport to catch a flight to miami, and her arrival depoends on traffic. If the traffic is light, then she can drive 60 mph and arrive at the airport 1 hour early. If traffic is heavy, she can drive 35 mph and arrive at the airport
73. ## TRIG.

From a point 50 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 35° and 47° 20', respectively. Find the height of the steeple. I missed class this day and have no idea how to go about this
74. ## trig or geom

i have to use pythagorean theorem to find the leg-measure of x. in the formula, x would be a^2. the hypotenuse is 11 and "b" is unknown. there is also a cosine with a measure of .4 at the top-most angle.. what is x? i don't know how to use cosine with the
75. ## trig

This identity means that translating a basic sine graph 3π/2 units to the right produces a basic cosine graph. True or False? sin(X-(3(pi)/2)) = cosX
76. ## 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?
77. ## Math/Trig

The average temperature, in °F, for Atlanta, GA is modeled by the sinusoidal function y = 18.25 sin(pi/6 t - 2.09) + 61.15 where t is the time in months and January is t = 1. What is the average temperature for the month of February? How do I do this
78. ## Trig

Find the exact circular function value for: sec(23pi/6) I know the answer should be: [2sqrt(3)]/3, but I do not understand how to solve the problem. I have a unit circle, but 23pi/6 is not on it, so I don't know how to find the (x,y)
79. ## Pre-Calc/Trig...

A ball is thrown upward with an initial velocity of 4ft/sec from a height of ten feet. what is the maximum height that the ball will reach. h(t)= -16+vt+s
80. ## trig

fridge temp equation: T(x)=3sin(pi/10x)+36 What are the high and low temps that will occur in the fridge after its been chilled to 36 degrees? How many mins between these temps? What is the period length?
81. ## 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.
82. ## calculus

need help simplifying some trig identities such as: (csc t) (sin t) cos t = 0.75 and tan t = 0.88, find sec t and cot t; (cot2t) (sin2t) + sin2 t; csc2t - cot2t/sin2t
83. ## 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.
84. ## trig

6. Compute the modulus and argument of each complex number. I did a-c and f. D. -5 E. -5+5i G. -3-4i 7. Let z= -5sqrt3/2+5/2i and w= 1+sqrt3i a. convert z and w to polar form b. calculate zw using De Moivres Theorem c. calculate (z/w) using De M's theorem
85. ## Trig

Find the exact value of sinx/2 if cosx = 2/3 and 270 < x < 360. A)1/3 B)-1/3 C)sqrt 6/6 D)-sqrt 6/6 C, since I KNOW cosx is always positive but I don't know the work involved. I know the half angle formula
86. ## Math

Trying to understand an inverse trig function. Evaluate Cos^-1 (sqr3/2) So I know it's 30 degrees, but wouldn't it also be 150 degrees because the Arc-cos is defined in the 2nd quadrant?
87. ## trig

An airplane is traveling at a speed of 724 km per hour at a bearing of N30°E. If the wind velocity is 32 km per hour from the west, find the resultant speed and direction of the plane.
88. ## trig

the shadow of a tower is 2y meters longer at 30 degree than when it was at 45 degree. find the height of the tower
89. ## trig

sinx = 4/5 and x terminates in Quadrant II Find sin2x and cos2x How to get the answers, which are sin2x = -24/25, cos2x = -7/25?
90. ## trig

can someone please help me with this problem. i'm doing my review right now and i'm stuck? Find cos(s + t) given that cos s = 1/3, with s in quadrant 1, and sin t = -1/2, with t in quadrant 4.
91. ## Trig

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards.
92. ## trig

{tan^2x+cotx divided by tanx-cotx} is equal to {1 divided by sin^2x-cos^2x}
93. ## trig

how high is a tree that casts a 30 ft shadow at the same time a 10 ft pole casts a shadow which is 10 ft long?
94. ## trig

the base of a trapezoid are 22 and 12 respectively. the angle at the extremities of one base are 65 degree and 45 degree respectively. find two legs?
95. ## trig

if tan(θ)=√(33) / 4 (√ does not ride over 4) find sin(θ)<0 i would just like to know the steps of how to do it.
96. ## Trig

Verify the identity. (secx + tanx)/(secx - tanx) = (1 + 2sinx + sin(^2)x)/cos(^2)x
97. ## trig

Find a numerical value of one trigonometric function of x if secxcotx=4 A.cscx=1/4 b.secx=4 c.secx=1/4 d.cscx=4
98. ## 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?
99. ## trig

A 15 FOOT LADDER MAKES 52 DEGREES ANGLE WITH THE GROUND.HOW FAR WILL THE TOP OF THE LADDER BE ABOVE THE GROUND?
100. ## trig

Find the reference angle for each given angle: a) 325 degrees b) 14pi/3 c) -190 degrees