# alg/trig

4,424 results, page 34

2. ## Trig

Complete the following statement. (1-sinθ)(1+sinθ)
3. ## trig

simplify the expression sin(theta+pi/4) + sin(theta-pi/4)

5. ## trig

simplify the expression: sin(theta+pi/4) + sin(theta-pi/4)
6. ## Trig

Verify the following identity: 1-cosx/sinx=sinx/1+cosx
7. ## trig

Find cos(A+B). cos A=1/3 and sin B=-1/2, with A in quadrant I and B in quadrant IV.
8. ## trig

Help with simplest form sin(2pift - pi) + sin(2pift + pi)
9. ## trig

what is the single term of csc^2 theta-1 over csc^2 theta
10. ## trig

From the top of a tower of height 75m, a man sees two goats, both due west of him. If the angles of depression of the two goats are 10 degrees and 17 degrees, calculate the distance between them. It wants the angle of depression. I , myself, don't
11. ## trig

a hedgehog wishes to cross a road without being run over. he observes the angle of elevation of a lamp post on the other side of the road to be 27 degrees from the edge of the road and 15 degrees from a point 10m back from the raod. How wide is the road??
12. ## trig

A tree on a hillside casts a shadow c ft down the hill. If the angle of inclination of the hillside is b to the horizontal and the angle of elevation of the sun is a, find the height of the tree. Assume a = 48°, b = 18° c = 235 ft. (Round your answer to
13. ## Trig

Plane leaves airport with heading of 110 degrees at 300 mph, the wing out of the southwest is 42 mph. locate the plane after 4 hours? find the distance back to airport and angle from due east?
14. ## Trig

Suppose you would like to cross a 204 ft wide river in a boat. Assume that the boat can travel 37 mph relative to the water and the current is flowing westbat a rate of 6mph. What bearing should be chosen so that the boat will land at a point exactly
15. ## Evaluation-repost

Reposting because it has gone down to the second page! Evaluate 1. sin(tan inverse sqrt(x^2-2x)) 2. tan (sec inverse 3y) For 1. draw a right triangle and label the opposite leg sqrt(x^2-2x), the adjacent side 1 and the hypotenuse x-1. Do the calculations
16. ## trig

on the same set of axes: (0 degrees is greater than or equal to x and x is less than or equal to 360 degrees) (a) sketch the graphs of y= sin degrees ,y=2sinx degrees and y=sin2x degrees
17. ## algebra/trig

1. f(x)=x^3+5 does f(x) have an inverse? if so, find the inverse and decide if it is a function. 2. if f(x)= 3x+1 and g(x)= x^2-1, find (f∙ g)(2) 3. if f(x)= (2x)^2, find f(-4) thank you :)
18. ## trig

find the exact value given that cosA=(1/3) in quad I, sin B=(-1/2) in quad 4, and sin C=(1/4) in quad 2 tan(B+C)
19. ## trig

Given the radius of a wheel is 12inches and the angular speed is measured to be 3pie/4 radiant per second, find the linear speed of the piece of gum stuck to the where. Give both an exact answer. And a decimal answer rounded to 4 decimal places.
20. ## Trig-Geometry - Law of sines and cosines

Hello everyone, I've been struggling on this problem for quite some time. It would be appreciated if you could help. Thanks. (The website is the diagram, it is a screenshot) In the diagram below, triangle ABC has been reflected over its median AM to
21. ## Trig

This has to do with vectors...I'm wondering if I set up the diagram correctly? A plane has a speed of 250mph and flies with a bearing of N35degE. The wind is blowing from the west at 25 mph with a heading of due east. What is the actual speed and heading
22. ## trig

Let  be an angle in standard position and the point (a, b) be the point of intersection of the terminal side of  with the unit circle. State the unit circle definitions of the six trigonometric functions. cos = sec = sin = csc = tan = cot =
23. ## math(trig)

1) What's the linear velocity of a point on the tip of a 6-ft propeller turning at 1200 revolutions per min? 2) A gear is driven by a chain that travels 90m/min. Find the radius of the gear if it makes 50 revolutions per minute.
24. ## trig

The manufacturer of a propeller for a small aircraft mandates a maximum operating angular velocity of 300 rad/s. Determine whether it is safe to install this propeller whose aircraft whose engine is expected to run at a maximum of 2800 rpm
25. ## trig...again

gahh i cant figure this one out either. you have you verify the identity only using one side of the equation: sec^2x*sin^2x+sec^2x=-1 this identity cannot possible be true. on the left side you are adding 2 squared quantities, how can that result be
26. ## trig

A rear windshield wiper on a car has a total arm length of 10 inches and rotates back and forth through an angle of 95 degrees. The actual wiper blade is 7 inches long. Find the area of thr windshield that is being cleaned.
27. ## trig

A rear windshield wiper on a car has a total arm length of 10 inches and rotates back and forth through an angle of 95 degrees. The actual wiper blade is 7 inches long. Find the area of thr windshield that is being cleaned.
28. ## trig

a tree growing on a hillside casts a 102-foot shadow straight down the hill. Find the vertical height of the tree if, relative to the horizontal, the hill slopes 15.0 degrees and the angle of elevation of the sun is 62.0 degrees.
29. ## Pre-Calc/Trig

A body was found at 6 a.m. outdoors on a day when the temperature was 50oF. The medical examiner found the temperature of the body to be 66oF. What was the approximate time of death? Use Newton's law of cooling, with k = 0.1947. A. Midnight (12 a.m.) B. 5
30. ## trig

given that 0 is less then or equal to theta and theta is less then or equal to pi. ans cos theta = 2/squar root of 7. Find sin theta
31. ## Trig

Let n be a fixed positive integer. Describe all solutions of sin(n theta) = 1/2 I know that the solutions would be (π/6)/n+(2πx)/n and (5π/6)/n+(2πx)/n ? How do I 'describe'
32. ## Trig

Use reduction identities to determine if the following statement is true or false: tan (A-B) = tan (B-A) Is this starement True or False ?
33. ## trig

an angle with the radian measure of 9pi/5. find radian measure of its reference angle. answers: -4/5, 4pi/5, -pi/5, or pi/5
34. ## math trig

verify the identities COSX OVER 1PLUS SINX PLUS 1PLUS SINX OVER COSX IS EQUAL TO 2SEC.
35. ## math- trig

What would be the 2 solutions to this equation? sinx(tanx) + tanx = sqrt(3)(sinx) + sqrt(3) I know that "x = pi/3 +pi k" is one, but I need help finding the other. Cheers
36. ## Trig

In ABC, vertex C is a right angle. Which trigonometric ratio has the same trigonometric value as Sin A? A Sin B B Cosine A C Cosine B D Tan A
37. ## Trig

Prove the following: 1/(tanØ - secØ ) + 1/(tanØ + secØ) = -2tanØ (1 - sinØ)/(1 + sinØ) = sec^2Ø - 2secØtanØ + tan^2Ø
38. ## Trig

find all solutions to the equation √3 csc(2theta)=-2 Would the answer be π/6 + 2πn, 5π/6 +2πn or π/6 + πn, 5π/6 +πn? or neither?
39. ## trig

Regarding the trigonometric series, Why does cos start with a 1 and why are the powers of x even numbers Also for sin, why does sin start with an x and why are the powers odd?
40. ## trig

(-10√2, -10√2), find te magnitude and direction angle of the vector, measure the direction angle in [0, 360). Please help!
41. ## trig

Evaluate without using a calculator or tables sin(pi/3 - 3pi/4) The answer is - 1+ square root of 3 / 2 square root of 2 How do I get this answer?
42. ## Trig

How would you find tan80 and tan55 as needed in this problem? Use identities to find each exact value. (tan80+tan55)/(1-tan80tan55)
43. ## trig

i have to draw a flat unit circle all the way to 4 pi in radians. i can get to 2 pi but i have trouble finding the radians if i went one more time around the unit circle.
44. ## Trig

Let sin A = 12/13 with 90º≤A≤180º and tan B = -4/3 with 270º≤B≤360º. Find tan (A + B).
45. ## trig

Let sin A = 12/13 with 90º≤A≤180º and tan B = -4/3 with 270º≤B≤360º. Find tan (A - B).
46. ## trig

Find the trigonometric function value of angle θ. Cos θ = 2/7 and θ is in quadrant IV. Find sin θ.
47. ## Trig

Simplify each expression using fundamental identities. 1. Sin theta cot theta 2. 1-sin^2 theta / cos theta
48. ## trig

Find the length of side b to the nearest whole number if side a=105,angle A=65 degrees and angle B=37 degrees?
49. ## trig

Please answer b)only a) If a triangle has angles of 35 and 65 degrees, what is the measurment of the third angle? Is it a right triangle? b)Find all angles of a right triangle triangle RST given that r = 18 cm and s = 20 cm
50. ## trig

how would I know what csc 450 degrees ? I know that csc is hypotenuse over opposite, but then when I graph this the opposite is the hypotenuse so how am i supposed to solve it?
51. ## trig

how do you work find sin (a-B)beta sign. sin a = 12/13,a lies in quadrant II,and cos B = 15/17, B lies in quadrant I.
52. ## Trig

Solve the equation on 0° ≤ θ < 360° and express in degrees to two decimal places. sin(2θ) = -0.7843 I've gotten 308.345° (QIV) and 231.655° (QIII). I'm unsure how to get the answer though? The final answer is: 115.83°, 295.83°,
53. ## ALG 2 PLZ PLZ HELP

As you can see, the biker and his friend are having a hard time getting up the hill. They would like to get to the top safely. Two ordered pairs on the hill are given as (6, 3) and (8, 7). Part 1: Find the slope of the hill. Slope (m) = change in y over
54. ## math

identify all of the basic trig functions that fit each description. 1) is negative for angles in the 2nd and 4th quadrant 2) is unbounded answer: tan, cot 3) has a range of -1 ≤ y ≤ 1 answer: sin, cos are my answers correct? and i'm not sure
55. ## trig

as a hot air balloon rises vertically, its angle of elevation from point P on level ground 110 kilometers from th epoint Q directly underneath the balloon changes from 15 degree 5' to 31 degree 45'. Approximately how far does the balloon rise during this
56. ## trig

As a hot-air balloon rises vertically, its angle of elevation from a point P on level ground d = 140 kilometers from the point Q directly underneath the balloon changes from 15°10' to 29°30' (see the figure). Approximately how far does the balloon rise
57. ## Trig

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 3 mi apart, to be angle x = 31° and angle y = 49°, as shown in the figure. (Round your answers to two decimal places.) Find the distance of the plane from
58. ## trig

A car drives 1000 feet on a road that is 8 degrees to the horizontal, as shown in the figure. The car weighs 3400 lb. Thus gravity acts straight down on the car with a constant force F=-3400j. Find the work done by the car in overcoming gravity?
59. ## trig

Question #1 Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at −−2029,2129 Find the exact values of cscθ cotθ sinθ .
60. ## Trig

Having completed another stimulating school day, Michael and Alyssia both leave at the same time. They walk together for a while and then go their separate ways. These paths make a 60° angle with one another. Michael toddles along at 2ft/sec, while
61. ## Trig/Pre-Calc

Could someone please help me on this problem. I'm really confused, and this assignment is due tomorrow. Solve the logarithmic equation algebraically. Approximate the result to three decimal places. log4x-log4(x-1)=1/2 To start off the equation, I know you
62. ## trig

A plane is flying with an airspeed of 150 miles per hour and heading 155°. The wind currents are running at 25 miles per hour at 160° clockwise from due north. Use vectors to find the true course and ground speed of the plane.
63. ## Math (Right Triangle Trig)

Suppose tan(theta)=5/7 and theta belongs to Quadrant III, find the exact value of sec(theta)? I already took the steps to solve this problem but I am confused if whether or not sec(theta)is positive or negative sqrt(74)/7 Any help is greatly appreciated!
64. ## Geometry- trig ratio

An observer (o) spots a plane flying at a 55 degrees angle to his horizontal line of sight. if the plane is flying at an altitude of 21,000 ft, what is the distance (x) from the plane (p) to the observer (o)?
65. ## Trig

a) Determine the equation of a sine function that would have a range of {y€R|-7<(or equal) Y <(or equal) 1} and a period of 135degrees. b) determine the cosine function that results in the same function an part (a). Any help provided will be
66. ## Trig/Pre-Cal

Show that the distance between the points (x,y) and the line Ax + By + C = 0 is: D = (Ax + By + C) / sqrt(A^2 + B^2) So, would you start out by multiplying sqrt (A^2 + B^2) to both sides and then it would become: sqrt (A^2 + B^2)D = Ax + By + C Then square
67. ## trig

karen, (who is 1,6m tall) wishes to calculate the height of a tall tree. she stands 50m from the base of the tree and measures its angle of elevation to be 36 degrees. determine the height of the tree?
68. ## trig

To calculate the height of a cliff, a surveyor takes the following measurements. The cliff's shadow is 12m, while at the same time a meter stick has a shadow of 2m. Draw a diagram and find the height of the cliff.
69. ## trig

what are the values of theta in the interval 0 degrees is lessthan or equal to theta is less than or equal to 360 degrees that satisfy the equation tan theta minus square root of 3 equals 0?
70. ## trig

From post C, An airplane and a helicopter travel to different islands.The plane travels.415 km N 60degrees45minutes E to island A. and the helicopter travels to island B at S 19degrees5minutes E for 120 km. what is the distance between tthe two island
71. ## trig

The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 19 ^\circ. How far is the ship from the base of the lighthouse?
72. ## trig

a guy wire reaches from the top of a 125 meter television transmitter tower to the ground.The wire makes a 63' angle with the ground.Find the length of the guy wire.
73. ## Trig

assume A= alpha using complementary rule how do I solve for alpha? cos(2A+40) =sin(3A-60) I don't understand how to start the question. What are the steps in solving for alpha. Do i get cos to equal sin somehow?
74. ## Algebra2/Trig

sqr(x^2-4)+(x^2)/x^2+1 I got ((x^2+1)*sqr(x^2-4)+x^2)/x^2+1 But my teacher gave (sqr(x^2-4)+x^2)/x^2+1 I did the problem over again but I can't figure out why my teacher got the answer. Can someone confirm that my teacher is right or am I right? sqr=square
75. ## precalculus

find the values of the requested trig functions using the given value and quadrant in which the point corresponding to the angle lies. quadrant II; sinθ=4/5 find cosθ and tan θ
76. ## Derivative

Can you help me find the derivative of y= cos(x)/1+sin(x).. the / is a fraction bar. I have a hard time finding trig derivatives because I don't really know what the derivative of cos,sin ,or tan would be honestly.
77. ## // calculus - trig derivatives

how do i do i do y=cos(radt)+ rad(cost)? ---- f(x) = (3x^2) (csc4x)^4 // f'(x)=? my notes say : f'(x) = (3x^2)5(csc4x)^4(-csc(4x)(tan4x)(4)+(csc4x)^5(6) I redid it and i got : f'(x) = (3x^2)5(csc4x)^4(-csc4x)(cot4x)(4) + (csc4x)^5(6x) which is correct? if
78. ## TRIG MATH

If sin theta= -7/8, then the value of 1/cot theta in the interval 3pi/2<theta is? okay I've done this question twice. The 1st time I got -7/sqrt15 and the next time got sqrt15/7. Are either of these right or am I totally messed??? I've got myself
79. ## Math/trig

Solve the equation in the given Domain: 1-cos theta/ sin theta = sqr3, 0degrees <or equal to theta < 369 degrees cos4x + cos 2x =0, 0<or equal to x < pi
80. ## trig

The captain of a ship at sea sights a lighthouse which is 280 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 25. How far is the ship from the base of the lighthouse?
81. ## trig

The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizontal distance, in miles, of the jet from the house, express d in terms of a trigonmetric function of x.
82. ## math

mr. pursley, have you ever worked geo., trig. etcwith no calu.s with the heat on , when it had to be right?wheather you blew up your target or something else or the bld. collapsed or was built in the correct place? i'm not an answer grazer, but qam an
83. ## Precalc+trig

Solve tan(40/90) for the double angle cos(2theta). I know I use the x^2 + y^2 = r^2 formula and cos(2theta) = cos^2theta - sin^2theta. But I don't understand my answer
84. ## trig and combine function

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...
85. ## trig

A pole is braced with a wire from the top of a pole to the ground. The wire is 100 feet long and makes an angle of 40° with the ground. Find the height of the pole.
86. ## trig

Find the exact values requested. No decimal approximations. Given that cot θ = 4 for an acute angle θ, A. Find sinθ. B. Find cos(2θ).
87. ## trig

Illustrate and solve. A monument near a dock is 12 miles east of a ship. After the ship has sailed 7 miles, the monument bears N62degreesE. In what direction is the ship sailing?
88. ## trig

A space shuttle 200 miles above the earth is orbiting the. Earth once every 6 hours. how far does the shuttle travel in one hour? Note the radius of earth about 4000 miles.
89. ## Trig

I need help with my vectors unit. I'm really confused about how to set them up. Please help. a.) Given u=2i-5j and v=-i+3j, determine -6u-3v? b.) Find the component form of v if |v|=4 and the angle it makes with the x-axis is 60 degree. c.) Given u=5i+3j
90. ## Trig

A 12 foot ladder leans against a building. The top of the ladder leans against the wall 10.5 feet from the ground. What is the angle formed by the ground and the ladder? Assume its a right triangle.
91. ## Trig

h t t p : / / m a t h c e n t r a l . u r e g i n a . c a / Q Q / d a t a b a s e / Q Q . 0 9 . 9 9 / a n g e l a 2 . 2 . g i f give that picture how do I solve for (h) I know that you you From the diagram tan(3.5) = h/(13 + x) and tan(9) = h/x. Solve the
92. ## Math Trig

I have to find the x (bottom length of the triangle) in a right triangle. angle A is 33.9 degrees angle B is 90 degrees and the height of the triangle is 3.3cm What formula do I use to figure out this question?
93. ## Pre-Calc/Trig...

Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2-x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots
94. ## Calculus

How would I find the antiderivative of this equation? S 0 to pi/3 (1-secxtans)dx This should be one that you should just recognize from your study of trig derivatives. Isn't the derivative of sec x, or (cos x)^-1 -(cos x)^-2(-sin x) ?? and isn't that
95. ## Urgent--Geometry(trig part)

So I am new to sine, cosine, and tangent, so I need some help. Just explain it. No need for the answers unless you want to give it to me. :D Let triangle ABC be a right triangle with angleC=90degrees. Given the tangent of one of the complementary angles of
96. ## trig

Match each ratio in the first row with an equivalent ratio from the second row if angle A plus angle B = 90 degrees. SinA CosA TanA CscA SecA CotA SinB CosB TanB CscB SecB CotB Does this question even make sense?
97. ## trig

An aifplane is flying on a compass heading (bearing) of 170* at 460 mph. A wind is blowing with the bearing 200* at 80mph. a) Find the component form of the velocity of the airplane. b) Find the actual ground speed and direction of the airplane.
98. ## Trig. application

Dave is going for a ride on his unicycle. The radius of the wheel is 25.5cm. When he gets on, the valve of the wheel is at its maximum height. He pedals along a path at a speed of 30km/h. At what height will the valve be located after he has cycled for 4
99. ## trig

Find the bearing and airspeed for a plane to fly 630 miles due north in 3 hours if the wind is blowing from a direction of 318* and is blowing at 15mph. Approximate the bearing to the nearest degree and the speed to the nearest mile per hour.
100. ## trig

A planes actual resulting ground speed and direction are 550 mph and N26E. A wind is blowing from the northeast. If the pilot is holding a course of N27E how fast is the wind blowing I'm just stumped. It's an extra credit question is basically why I'm