# trigonometry

2,128 results, page 8

1. ### Trigonometry

What is the period of y = ã3sin (1/3x-ã1/3)? A, 6ƒÎ B. ã3ƒÎ C, 2ƒÎ/3 D. ƒÎ/3 What is tan^-1 ã3/3? A. ƒÎ/6 B. ƒÎ/4 C. -ƒÎ/3 D. -ƒÎ/4 What is the frequency of y = tan (ƒÎ/3 x) ? A. 3 B. 1/6 C. ƒÎ/3 D. 1/3 What is the amplitude of y = 1/5 sin (ã...
2. ### Trigonometry

√3 + 5cos⦸ = 3 cos⦸ Can someone please explain for me how to express the answer in radian measure? Thanks
3. ### Trigonometry

Triangle ABC is given where the measure of angle a is 33°, a=15 in., and the height, h, is 9 in. How many triangles can be made with the given measurements? Explain your answer.
4. ### trigonometry

an isosceles triangle is inscribe in aradius 100 in .find the angles of the triangle if it is base subtends an arc of 143.7 in
5. ### trigonometry

It is given that sin(θ)=15√. In addition, a and b are coprime positive integers such that cos(2θ)=ab. What is the value of a+b?
6. ### Math (Trigonometry)

In triangle ABC, we have AB = 16, BC = 29 and CA = √1097. What is the integer that is closest to 100 sin∠ABC?
7. ### Trigonometry

What is the surface area of the cube below? answer in simplest radical form only one surface is 576 cm^3
8. ### algebra & trigonometry

The sum of two numbers is 210. If one number is the square of the other, find the set of numbers. Thanks
9. ### Trigonometry

Use De Moivre's Theorem to write the complex number in trigonometric form (cos(2pi)/7)+ i sin((2pi)/7))^5
10. ### trigonometry

one leg of the right triangle is 10 cm and the hypotenuse is 20 cm longer than the other leg.Find the lenght of the unknown sides.
11. ### maths trigonometry

solve the equation (2cos theta +1)(tan theta minus 1)=0 for all values between 0 and 2pii.
12. ### trigonometry

a triangle has sides equal to 68 cm, 77 cm and 75 cm, respectively. find the area of the escribed circle tangent to the shortest side of the triangle.
13. ### trigonometry

2*cos^2(a/2)=(sin^2(a))/(1-cos(a)) can anyone help to prove this identity?
14. ### Trigonometry

Where does the graph of y = tan theta intersects the graph of y = -1.
15. ### trigonometry

how to solve sin 4x= cosx(4 sinx - 8 sin ^3x)
16. ### Trigonometry

How do you simplify: -5(cot^2 theta - csc^2 theta)?
17. ### Trigonometry

verify the identity: (1-cosx)(1+cosx)= sin^2 x
18. ### Trigonometry

verify the identity: 1-cos^2x/1-sinx= -sinx
19. ### Trigonometry

verify the identity: 1- (cos^2x)/(1-sinx)= -sinx
20. ### Trigonometry

Verify the Identity: (1-cosx)(1+cosx)=sin^2x
21. ### maths (trigonometry)

if sec x +tan x=p, then tan xeuqalto what. How?
22. ### maths trigonometry

if theta = 45, the value of cosec ^ 2 theta is ?
23. ### Trigonometry

Prove that cos(A+B) + sin(A-B) = 2sin(45°+A)cos(45°+B)
24. ### Trigonometry

Prove that tan2A = (sec2A+1)√sec²A-1
25. ### Trigonometry

cos²a + cos²(a+120°) + cos(a-120°) = 3/2
26. ### Trigonometry

In a right triangle with ã the right angle, b = 86.5 and c = 125.8. What is â
27. ### trigonometry

Prove cotx-1/cotx+1=1-sin2x/cos2x
28. ### Trigonometry

What is -6i in standard form? It is originally in trig form.
29. ### Math(Trigonometry)

kos^2 theta - sin^2 theta = 0.25
30. ### math(Trigonometry)

2cos^2 theta + 5 sin theta - 4 = 0
31. ### Trigonometry

How do I prove that sin(x+y)-sin(x-y)=2cosx siny
32. ### Trigonometry

Find tan2A when tanA = 1/3 and π<A<3π/2. A) 4/5 B) 5/4 C) 3/4 D) 3/5
33. ### Trigonometry

Prove: 1-tanx/1+tanx=1-sin2x/cos2x
34. ### Trigonometry

Calculate the modulus and argument of each: a. 1 + i b. √3 + i c. -2i d. -5 e. -5 + 5i f. 7√2 + 7i g. -3 -4i
35. ### trigonometry

if secA-tanA =10 than sinA =?,cosA =?,secA =?
36. ### Trigonometry

2x is a 2nd quadrant angle. In which quadrant does x/2 lie?
37. ### trigonometry

If cos x = 4/5, 0° x 90°, find the value of (1 + tan x)/(1 - tan x)

If a is an angle in standard position and its terminal side passes through the point (-3,2), find the exact value of csc a. Answer: radical 13/2
39. ### Trigonometry

Find all solutions for the following equation in the interval 0 ≤ x <2pi 3cos(3x)=6 i got cos3x=2, don't know how to go further i think it would be no solution but just want to confirm.
40. ### trigonometry

a yardstick, held vertically on a level surface, cast a shadow 1 foot 8 inch long. Find the tangent of the angles that the rays of the sun make with the horizontal.
41. ### trigonometry

calculate the angular velocity in radians per minute of ferriswheel 250ft. in diameter that takes 45second to rotate once. express the answer in term of pie
42. ### Trigonometry

a pizza has a diameter of 18 inches and it's divided into 8 equal parts, and you take one slice of it. what is tha central angle of your share in mills measurements? with a solution
43. ### trigonometry

a yardstick, held vertically on a level surface, cast a shadow 1 foot 8 inch long. Find the tangent of the angles that the rays of the sun make with the horizontal
44. ### FST (functions, stats, and trigonometry)

but what if the function is moved, then what is the line of symmetry? like (x,y)-> (x+3, y-1)? i understand where the line is visually but i don't know how to write the equation
45. ### Trigonometry

How do you know when to add k(2pi) or k(pi)? What's the difference? Also, for this problem, why are you supposed to use k(2pi/5) for the solutions, assuming that there is no domain? 2sin^2(5x)+sin(5x)-1=0 Thank you!
46. ### Trigonometry

A pole with a height of 60 ft. has a shadow of length of 34.64 ft at a particular instant of time. Find the angle of elevation of the sun at this point of time.
47. ### math-trigonometry

I'm working woith multiple ange and product sum formulas and I'm stuck on these. Can you help? Thanks sin2xsinx=cosx cos2x-cosx=0
48. ### math and language arts

What is a sentence using the words abacus and trigonometry and hypotenuse i could use as a example? It much use definions.
49. ### trigonometry

I need help finding the key points for the graph y=1/3 cos x and y=-sin 2piex/3 I just don't understand how to graph this and find keypoints.
50. ### Math 132 Trigonometry (College)

when the angle of elevation of the sun is 58 degrees. the shadow cast by a tree is 28 ft. long. how tall is the tree?
51. ### Trigonometry

If the shadow of a building increases by 10 meters when the angle of elevation of the sun rays decreases from 70o to 60o, what is the height of the building?
52. ### Trigonometry

rectangular form to polar form xy=12 rsinÆŸ rcosÆŸ=12 would the answer be: r^2=12/cosÆŸ sinÆŸ please show steps, Thanks
53. ### Mathematics-trigonometry

If sin theta=24 divide by 25 and theta is acute..make use of a diagram to determine the value of 7(tanø-secø)
54. ### trigonometry

plane flies speed of 185km/hr @ 120deg. it changes speed to 32km/hr @165deg due north. Find the direction and course.
55. ### trigonometry

find the measure of the central angle, where the pendulum of length 40cm travels an arc of 5cm as it swings through an angle
56. ### Trigonometry

A tree is 5.8 metres tall and casts a shadow, the Suns elevation is 55 degrees, what length is the shadow? How do I work this out please?
57. ### Trigonometry

A tree is 5.8 metres tall and casts a shadow, the Suns elevation is 55 degrees, what length is the shadow? How do I work this out please?
58. ### Math Trigonometry

Point P(k, 24) is 25 units from the origin. If P lies on the terminal arm of an angle in standard position, determine the measures of the angle(s)
59. ### Trigonometry

A pilot wants to maintain a course of 40° and a ground speed of 300 mph against a 45 mph wind from 20° west of north. What should his heading be?
60. ### Math

Hello! I need assistance in solving for a side for a right triangle in trigonometry. Can anyone give me the easiest way/formula how to go about solving it? Thank you!
61. ### Math

I'm trying to decide what math course to take next year. How do Statistics and Trigonometry compare in difficulty? Which is more helpful for the SAT's? THank you for your explanations.
62. ### MATH trigonometry

in an isosceles triangle the vertex angle measures 90 degrees and the length of each congruent leg is 5√2. whats the length of the base?
63. ### Trigonometry

Using the same equation from problem 1, what is the average temperature in Atlanta, GA, for the month of June? equation from #1 is y = 18.25 sin(pi/6 t - 2.09) + 61.15 where t is the time in months and January is t = 1.
64. ### trigonometry

Solve the following right triangles: a. a=117 ft, b=16.35 ft b. B=8 degrees 29',and a=32.8 ft for a. got 118.14 by Applying the Pythagorean Theorem a^2 + b^2 = c^2. can you show me the steps of how to solve b.
65. ### trigonometry

Write the equation of the curve in its final position: the graph of y = tan (x) is shifted by (pi/6) units to the right, stretched by a factor of 3, then translated 8 units up.
66. ### trigonometry

a kite has 120 m of string attached to it when it flies at an elevation of 5 degrees. How far is it above the hand holding it? ( assume that the string is taut)
67. ### Trigonometry help

If sin(x) = 1/3 and sec(y) = 13/12 , where x and y lie between 0 and π/2, evaluate the expression using trigonometric identities. (Enter an exact answer.) sin(x + y)
68. ### Math- Trigonometry

The point, in on the terminal side of an angle in standard position find the exact value of the six trigonometric functions of the angle a. (8,15) b.(-9,-40)
69. ### trigonometry

A motor boat moves in the direction N32degreeW for 3hrs. at 18miles per hour. How far north and how far west does it travel?
70. ### Spherical Trigonometry

*100 meters from the base of the pine tree its top was sighted as forming 38 degrees with the ground.Find the height of the tree.
71. ### maths applications of trigonometry

if an object is observed with an angle of elevation 60 degrees from a point at a distance of 60m, so find the height of object from the ground
72. ### Trigonometry

In an explosion, a piece of debris is tossed 99 meters N 45 W. what is the displacement in the north and west directions. I'm not really sure what it wants when it asks for displacement so I also don't know how to get it.

Find the exact value of each expression Cos^-1(0) Tan^-1 sqrt(3)/3 Sin^-1(1) Since the expressions are capitalized, I'm not sure if I have to do anything different. Any help is appreciated.
74. ### trigonometry

I have the trigonometric equations: y=3+2sec(pi/8)(x-3) y=12+4cot(pi/6)(x-1) y=3+7csc(pi/4)(x-1) how do I make these into sine, cosine, and tangent equations so that I can work with them more easily?
75. ### trigonometry

okay so in my review packet under the "calculator" section it says law of sines and law of cosines. i don't know what that means. i wikipedia-ed it but i don't understand what they are saying. Please help!
76. ### trigonometry

Use fundamental Identities to find the exact value of the expression. Do not use a calculator. Sin² 65° + cos² 65°=??.. How would I attempt to solve this problem??
77. ### Trigonometry

I can't figure out the answer to this problem Use a right triangle to write the expression as an algebraic expression. (Assume x is positive) Tan(sec¯¹ [sq rt.x² + 4/x])
78. ### Trigonometry

Verify the identity. sin2x/cosx + sinx = 2sinx Solve for all values of x: 6cos2x-7cosx-3=0 If f(x)=cos1/2x-sin2x find the value of f(pi)

Given sine of alpha=2/3 and cosine of alpha is less than zero, find the exact value of the other five trigonometric functions.
80. ### Math-Trigonometry

Use the half-angle formulas to find the exact values. Cosine 165 degrees, Sine 157 degrees 30' and tan pi/8
81. ### algebra/trigonometry

find the smallest positive number that is the difference of two three-digit integers made up of the digits 1, 2, 3, 6, 7, 8 where each digit is used once.
82. ### 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
83. ### Math - Trigonometry

A, B and C are three towns, the bearing of B and C from A being 295° and 205°, and their distances from A are 280km and 800km respectively. Find the bearing of C from B to the nearest minute.
84. ### trigonometry

An airplane rises vertically 1000 feet over a horizontal distance of 1 mile. To the nearest degree what is the angle of elevation of the airplane’s path?
85. ### trigonometry

Two stations A and B are 2,000m apart. When an airplane was directly above A, an observer at B found that the angle of elevation of the airplane is 60° . How far is the plane from the station B??
86. ### 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
87. ### trigonometry

the base of an isosceles triangle measures 108 feet and forms an angle of 55 degrees with one equal sides. find the perimeter of the triangle
88. ### algebra/trigonometry

A kite and a height of 75 meters from the ground is attached to a string inclined at 60 degrees to the horizontal. How do you find the length of the string to the nearest meter?
89. ### Pre-Cal

[Note: i did these wrong apparently.. :( ] Simplify the trigonometry expressions as much as possible. (a). tan^(2)xsecx+secx (b).(csct-sint)/(csct)
90. ### Maths trigonometry

If the angle of elevation of the sum at the given time is 30° then find the length of the shadow cast by the tower of 150 feet height at that time.
91. ### Trigonometry

Find all solutions of the equation Tan(theta - 30 degrees)= -5 in interval 0 - 360 Book gives answers for theta of 131.3 and 311.3
92. ### trigonometry

Prove cos4x = 8 cos^4x-8 cos^2x+1

94. ### maths (trigonometry)

what is the identity of A raise to 4+b raise to 4
95. ### Trigonometry

Prove identity. Sec(pi-x)=-sec x
96. ### Math, trigonometry

how to evaluate sin (40)[1+sin(10)]
97. ### Trigonometry

A ship travels S 62 E and for 48 km and then turns and travels N 28 E for 37 km.
98. ### Trigonometry

cos2Acos2B + sin²(A-B) - sin²(A+B) = cos(2A+2B)
99. ### algebra/trigonometry

x+5 over 7 divided by 4x+20 over 9
100. ### Trigonometry

cos 17pi/6 + tan 17pi/6