# alg/trig

4,413 results, page 28

1. ### Geometry (trig part)

How far apart would the top of the drawbridge be when both sides are open, if the angle of elevation of the drawbridge was 20°, to the nearest hundredth? (Extra info: distance inbetween is labeled "x")
2. ### Physics

In a coordinate system, a vector is oriented at angle theta with respect to the x-axis. They y component of the vector equals the vector's magnitude multiplied by which trig function? ... please explain
3. ### Physics

In a coordinate system, a vector is oriented at angle theta with respect to the x-axis. They y component of the vector equals the vector's magnitude multiplied by which trig function? ... please explain
4. ### Trig

Find all values of theta in the interval 0 <= theta < 360 that satisfy the equation 3cos(2theta)=7cos(theta). Express answers to the nearest ten minutes.
5. ### trig

The cross section of a television antenna dish is a parabola. A dish has a receiver that is located at the focus, 4 ft. above the vertex. Find the equation. (which I did) -- x^2 = 8y If the dish is 8 feet wide, how deep is it?
6. ### Trig

While fishing on a lake, the fisherman looks up at a cliff. His boat is 23 ft from the base of the cliff, and the angle of elevation is 40 degrees. Find the height of the cliff to the nearest tenth of a foot.

8. ### Trig

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

Help anyone? I need both sides to equal. -2sinxcosx/ 1-sinx-cosx = 1+sinx+cosx
10. ### 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.
11. ### 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?
12. ### trig

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

Find the distance between d(P1,p2) between the points P1 and P2 P1= (-1,-5), P2 = (6, -6) and i also need help with this problem x 8 ____ - ____ x^2-64 64-x^2
14. ### Math/Trig

Solve: sin2 x = cos2 x for 0 degrees is less than or equal to x is less than 360 degrees.
15. ### 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.
16. ### 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?
17. ### 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
18. ### trig

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

Find the reference angle for each given angle: a) 325 degrees b) 14pi/3 c) -190 degrees
20. ### 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?
21. ### 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?
22. ### 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?
23. ### Trig

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

GIVEN THE ANGEL ALFA WITH COS ALFA = -1/a. IF ALFA IN QUADRANT TWO, THE VALUE OF SIN ALFA IS....
25. ### 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
26. ### Trig

Given ∆ABC. If side a is twice as long as side b, is <A necessarily twice as large as <B? Why?
27. ### 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?
28. ### 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
29. ### 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
30. ### 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?
31. ### 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
32. ### trig

solve log(x +9) - log x=3
33. ### trig

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

simplify cos(30+x)+cos(30-x)
35. ### Trig

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

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

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

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

cot^2/1 + cot^2 = cos^2
40. ### Trig/precalc

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

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

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

y = cos(4x/3 minus 1) amplitude? Period? Two x - intercepts? y-intercept? Domain? Range? Shift along x? Shift along y? Kind of reflection?
44. ### trig

(cotxsec2x - cotx)/ (sinxtanx + cosx) = sinx prove. i keep getting (if i start from the left side) = cosx instead of sinx please help!

I have no idea how to do this Find the value of the angle theta in degrees rounded to the neartest tenth of a degree. I have no idea were to start... h t t p : / / i m g 6 . i m a g e s h a c k . u s / i m g 6 / 5 8 9 9 / a d s f a s d f a s d f a d s f s a d f . j p g
46. ### Trig

Linear and angular speed Find w for each of the following: 1. the minute hand of a clock 2. the second hand of a clock The answer to #1 should be pi/30, but I do not understand how to solve these.
47. ### Trig.

How's the rule go on evaluating compositions of functions? Is it that sine is positive in first and second quadrants, while cos/tan are positive in the first and the fourth?
48. ### trig

find, to the nearest minute, the solution set of 4 cos x + 5 = 6 sec x over the domain 0 degrees which is less than or eaual to x which is less than 360 degrees
49. ### Math Trig

Suppose that X is an angle in standard position and that X' is it's reference angle. If cosX = -4/ squareroot of 17. find the exact value of cosX' is it 4/square root of 17?
50. ### algebra 2 and trig (math)

Find the value of x in the interval 0 is less than or equal to x and 360 is greater than or equal to x which satisfies the equation cos x - 2 cos x sin x.
51. ### Trig

Consider a triangle ABC like the one below. Suppose that A=45 degress, B=34 degress, and a= 70. Solve the triangle. Round your answers to the nearest tenth.
52. ### 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?
53. ### 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
54. ### trig

solve each equation for è, giving a general formula for all of the solutions: 6. tanè=-1 7. sin(è/2)=1/2 Please show step by step on how to solve these. Im not sure on how to do them. Thank you for your help!
55. ### Trig.

Find to the nearest degree, all values of ө less than 360˚ that satisfy the equation 2tan^2θ-2tanθ=3
56. ### trig

a 7 foot tall man is standing 65 feet away from a tower. if the angle of elevation is 35 degrees. what is the height of the tower to nearest tenth of a foot?
57. ### Trig Question

Given that tan x= -3/4 and x is in the second quadrant. Find sin 2x, cos 2x, and tan 2x (Exact, no decimals). Please show step-by-step, thank you!
58. ### math/trig

A 16 ft ladder casts a shadow 44 ft with the sun angle of elevation is 60.5 degrees. Find the height of the flagpole and at what angle is the shadow twice as long?
59. ### 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?
60. ### 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.
61. ### trig

a 725 pound trailer is sitting on a ramp inclined at 36 degrees. how much force is required to keep the trailer from rolling down the ramp??
62. ### 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.
63. ### 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:
64. ### trig

Each child in a family of 3 children is going to get a pet. One wants a dog or cat, another wants a bird or rabbit, and the third wants a frog or snake. List a sample space or draw a tree diagram and determine the number of possible outcomes.
65. ### Pre-calc/trig

i think its a or b Which scenario describes periodic behavior? A pendulum swinging back and forth A ball bouncing up and down on the ground The takeoff and landing of a jet plane The path a dolphin swims in the ocean
66. ### Math (Trig Review)

Evaluate the expression without using a calculator (Make a sketch of a right triangle) tan(arccot 2) Thanks in advance! I'm trying to refresh my memory of these kinds of problems and I'm having trouble on how to solve this problem
67. ### Lost in the pits of ALG

I have 5 problems I seem to not be able to comprehend out of 150 that are due Tuesday. I have tried every which way to solve them on my own..please help. Find the variation constant in which y varies inversely as x, and the following condition exists. Y=30 when x = 1/6 k will...
68. ### Math - Alg

1. The volume V of a right circular cylinder is given as V = pir^2h, where r is the radius of the base and h is the height of the cylinder. a. Express the height of the cylinder in terms of iuts volume and radius of the base. b. Translate the equation above into a verbal ...
69. ### trig

Graph three periods of the function. (identify period and phase shift and intercepts) y = f(x) = √3/2 sin(2x) - 1/2 cos(2x) if you can't graph it can you at least get it into that simpler form which is graph able.
70. ### Trig

Find an equation for the hyperbola described. Foci at (-4,0) and (4,0); asymptote the line y= -x. Please explain the steps of this problem. My book does not get an example of this type of problem and I'm not having any luck working this problem.
71. ### trig with enough info?

Two oil Wells are 4 km and 6 km from the river. The points along the river are 8 km apart. Find the common loading point on the river, using the shortest amount of pipe.
72. ### calc.- trig substitution

s- integral s 1/ [ (x^4) sq.rt(x^2+9)] i know x=3tanx sq.rt(x^2+9)= 3 secx dx= 3/[cos^2(x)] so far i know: = 1/ (3tan^4(x)) 3secx cos^2(x)) dx =1/ 81 [ (sin^4 (x)/cos^4 (x)) (1/cosx) (cos^2(x))] then i'm not really sure what to do next
73. ### 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
74. ### Trig help

How would I state the phase shift of y=cos(θ-pi/3) & then graph it? Step by step would be awesome, I was out sick and needed to do a worksheet to catch up!

Consider the trig equation: 4sinxcos2x + 4cosxsin2x - 1 = 0 in the Interval [0, 2 pi] Either show that there is no solution to the equation in this domain, or determine the smallest possible solution.
76. ### Trig

The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 305 miles today. Each of your wheels is going to turn by an angle of how many degrees.
77. ### TRIG

Solve this equation on the interval 0 θ < 2π. Round your answer(s) to two decimal places. 2 sin θ + 3 = 2 (smaller value) (larger value)
78. ### Pre-Calc/Trig

Please help-I'm stuck really bad What are the roots of the equation x^2 - 4x + 3 = 0 I think I was suppose to use b^2 - 4ac so it would be -4 - (-4)*1*3 = 12 so the roots would be 12 and -12 Thank you for any help you can provide
79. ### trig

Find the indicated trigonometric function, given that è is an angle in standard position with the terminal side passing through the given point. 2) (15, 20); Find csc è. A) 5/3 B) 3/4 C) 5/4 D) 4/3
80. ### trig

y= sin x/2, 0 less than equal to x less than equal to 4pi... the question says state the amplitude and period for each equation and graph it over the indicated interval
81. ### Trig

A 12-foot ladder reaches 9 ft 6 in up a wall. How far up would a 20-foot ladder reach when placed at the same angle? Write the answer in feet with inches.
82. ### trig

To the nearest degree, all of the following angles are solutions of the equation 2sin x + 4 cos 2x =3 except: (1) 40 degrees (2) 150 degrees (3) 166 degrees (4) 194 degrees
83. ### trig

if 5cos A plus 3=0 and 180<A<360..without using a calculator and with the aid of a diagram,determine the value of 1.1 sinA plus cosA 1.2 tanA *sinA
84. ### Math - Trig

The equation y = 20sin(0.5θ - 2) + 40 models the monthly temp for a certain city. Use the equation to predict the temperature in the city during December. Thanks
85. ### 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
86. ### trig

A pilot is flying at 10,000 feet and wants to take the plane up to 20,000 feet over the next 50 miles. What should be his angle of elevation to the nearest tenth?
87. ### 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
88. ### 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.
89. ### Trig

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

use a double-angle formula to find the exact value of cos2u when sinu=5/13 , where pi/2<u<pi So far I went cos2u=1-sin^2 =1-2(25/169) =1-(50/169)
91. ### 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?
92. ### 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.
93. ### trig

how do i get the degree for (tan+1)(tanx-2)=0 in the interval of 0 is less that or equal to x and x is less then or equal to 360
94. ### Trig problems

Part 1) Evaluate tan 7.5 Part 2) Evaluate exactly cos (-(45pi(4)))
95. ### 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
96. ### trig

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

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

Sin theta = 4/5 i got 53.1 as an answer but on my answer sheet is also has 126.9 How do i get that 126.9?
99. ### trig

Verify the identity sin 3x cos 3x = 1/2 sin 6x can you show step by step please
100. ### 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.