# trigonometry

2,054 results, page 12

### Trigonometry

Solve the equation, where 0° ≤ x < 360°. Round approximate solutions to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 3 sin x − 3 cos x = 1

### Trigonometry

A weight hanging from the end of a spring is pulled 8 inches below its rest position. When released, the weight then exhibits simple harmonic motion, with period 1/2 second. Find an equation describing its motion

### Trigonometry

Find the symbols for degrees, minutes and seconds on your calculator. Then find cot(43‹41Œ13"). Please give the details of what you did in addition to the answer. Explain what you did to find this. Has any other response used a wrong technique? What would you do to fix it?

### trigonometry

Prove: tan2x+sec2x = cosx+sinx/ cosx-sinx

### maths (trigonometry)

how can we calculate the value of Cos 10+sin 10/cos 10- sin 10

### Trigonometry

Prove that sin(n+1)A-sin(n-1)A/cos(n+1)A+2cosnA+cos(n-1)A = tanA/2

### Trigonometry

What are these things called: -cos x = cos -x What are the rules to these trig rules? Thanks

### Trigonometry

1. ((cosx)/(1 + sinx))+((1 + sinx)/(cosx)) 2. ((cos(x)cot(x))/(1 - sin(x)))-1

### trigonometry

verify the identity: (cosx/1+sinx) + (1+sinx/cosx) = 2secx

### Algebra 2/ Trigonometry

If cos y = -4/5 when 90°≤ y ≤ 180° what is the value of cos 2y?

### maths trigonometry

if cottheta=7/8 then what is the value of 1+costheta/1-sintheta*1-costheta/1+sintheta.

### trigonometry

Prove : 1 + Sin2A/ Cos2A = CosA + SinA / CosA- SinA

### trigonometry

π/10 = (0.95, 0.31) 3π/10 = (3/5, 4/5) 20° = (28/30, 10/30) are these correct? tan 70° = 28/10 csc 21π/10 = 1/0.31 sec 17π/10 = 5/3

### TRIGONOMETRY

given real numbers x, a, b with x>= a>= b>= 0, show that sqrt x+b - sqrt x-a >= sqrt x+a - sqrt x-b

### maths(trigonometry)

if 10A=4/3, find (3sinA+2cosA)/(3sinA-2cosA)

### Trigonometry

Mountain Descent A road sign at the top of a mountain indicates that for the next 4 miles the grade is 12%. Find the angle of the grade and the change in elevation for a car descending the mountain.

### Algebra and Trigonometry

A person who can swim at 3 m/s wishes to swim straight across a river flowing at 2 m/s south. What heading should they swim at? How long will it take to cross the river if it is 56 m wide?

### Trigonometry

A ladder leaning against a building makes a 40 degree angle with the ground. The top of the ladder reaches 10 feet above the ground. How tall is the ladder to the nearest whole foot?

### Trigonometry

a flagpole 25 feet tall stands on a top of a building. from a point in the same horizontal plane with the base of the building. The angle of elevation of the top and the bottom are 61°30' and 56°20' respectively. How high is the building?

### Trigonometry

a flagpole 25 feet tall stands on a top of a building. from a point in the same horizontal plane with the base of the building. The angle of elevation of the top and the bottom are 61°30' and 56°20' respectively. How high is the building?

### Trigonometry

At a point on a level ground, the angle of elevationof a mountain top B is 42deg36min. At a pointD350 meters nearer the mountain, the angle of elevation is 51deg 43 min. Find the height of the mountain?

### Trigonometry (identities) (last help needed)

1. (2cosx-2secx)(3cosx^2+3secx^2+β) 2. (16tanxsecx-4secx)/(8tanxsecx+4secx) 3.sinxcosx^3+cosx^4 (hint: GCF) 4. (cosβ+sinβ)^2

### trigonometry

Nikki bought a triangular lot whose sides are 9 meters, 12 meters, and 15 meters long. if it cost her 3500 pesos per square meter, how much did she pay for the lot?

### trigonometry

1.use a calculator to evaluate the expression cos31deg*cos149-sin31deg*sin149 A. -0.4695 B. -1 C. 0 D. -0.8829 i got B. is that correct? 2.Find the exact trigonometric function value. csc(-300deg) A. sqrt2 B. 2sqrt3/3 C. -sqrt3/3 D. -2 i don't know about this one..i can only ...

### Trigonometry

find the angle theta between two vectors v=-sq. root of 3/2 i+-square root of 3 / 2 j and w=4 square root of 3 i +4j

### trigonometry

What is the single trigonometric function of (Cos 20 degrees) (Cos 30 degrees)-(Sine 20 degress) (Sin 30 degrees)

### trigonometry

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km. Can you help me find the latitude of Spokane, WA if Spokane and Jordan Valley, OR, 43.15degreesN, are 486 miles apart. I think its either A. 47.50degN or B. 38.80degN thnks

### trigonometry

Radio direction finders asre set up at points A and B, 8.68 mi apart on an east-west line. From A it is found that the bearing of a signal from a transmitter is N 54.3degE, while from B it is N 35.7degW. Find the distance of the transmitter from B, to the nearest hundredth of ...

### Trigonometry

The Chrysler Building casts a shadow approximately 130 feet long on the street when the Sun's rays form an 82.9 angle with the Earth. Approximately how tall is the building? Round you answer to four decimal places.

### Trigonometry

The question was: "Given that sin theta is -1/2 and theta is in quadrant IV, find the cos and tan of theta." I found 1/2 for cosine and -1 for theta, but the answer sheet said I was incorrect. I am almost positive I did this correctly... can someone double check for me?

### Trigonometry Multiple Choice Question please help!

Viola drives 200 meters up a hill that makes an angle of 9° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered? 1,262.8 m 200.4 m 197.5 m 31.3 m Thank you so much! ^_^

### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x + 4; [0, 2π)

### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x + 4; [0, 2π)

### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x + 4; [0, 2π)

### Trigonometry

I need help proving trigonometric identities. Most of my difficulty lies in actually factoring the equation. For example, one of the problems is (cos t - sin t)^2 + (cos t + sin t)^2 = 2. I have to prove that the left side is equal to 2. How do I do that?

### trigonometry

A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point. Round to the nearest degree

### Trigonometry

Suppose a smooth glass-top table is tilted slowly. The angle, A, at which a glass plate on the table begins to slide is 43º. Use the equation mg sin A = umg cos A to determine the coefficient of friction, u. A)0.43 B)0.22 C)0.90 D)0.93

### Trigonometry

Without using the Calculator, solve the ff: (show solution) a. Cos 18° b. Tan 18° c. Cot 18° d. Sin 9° e. Cos 9° [Hint: Using any of the formulas for Half- Angle, Double Angles, Reduction] Good Day!!! Thank you for the time. :)

### Summer School Calculus

Another one for you :P, add these two vectors using trigonometry (again)... 9N[S2W] and 11N[N31W]...Again, I am confused about the angles, I am not sure what value I should use for the cosine and sine law. THANKS AGAIN!!

### Math (trigonometry)

MONDAY December 3, 2012 SCHOOL SUBJECTS Art Business Computers English Foreign Languages Health Home Economics Math Music Physical Education Science Social Studies GRADE LEVELS Preschool Kindergarten Elementary School 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th ...

### trigonometry

Find the number of cans stacked in a display if there are 30 rows of cans with six on the top row, ten on the second row, 14 on the third row and so on. I know it's the sum of an arithmetic sequence, but I'm not sure exactly what to do.

### trigonometry

A lighthouse BC of unknown height stands on the edge of a cliff AB. From a point O, 2500 ft from the base of the cliff, an observer measures the angles of elevation of the top and bottom of the lighthouse and finds them to be 15°40' and 12°13'. How high is the lighthouse.

### Trigonometry

A rectangular box shown has dimensions 10" multiplied by 6" multiplied by 4" (a = 10, b = 6, c = 4). Approximate the angle theta formed by a diagonal of the base and a diagonal of the 6" multiplied by 4" side. (Give the answer to two decimal places.)

### Trigonometry

A pine tree stands beside a road that has a 7 degree gradient. When the angle of elevation to the sun is 59 degrees, the tree casts a shadow of 31 ft down slope along the road. What is the height of the tree?

### Trigonometry

Find the exact value of tan(a-b) sin a = 4/5, -3pi/2<a<-pi; tan b = -sqrt2, pi/2<b<pi identity used is: tan(a-b)=(tan a-tan b)/1+tan a tan b simplify answer using radicals. (a is alpha, b is beta)

### trigonometry

A carpenter is building a house. He is constructing the roof. The roof has an angle of elevation of 40° from the horizontal. The height he wants to make the roof is 18 feet. How far is it from the bottom edge of the roof to the top of the roof? (Find the hypotenuse to the ...

### trigonometry

this is exactly how the question is written and i tried to solve it but i just couldn't. Can u please show me how the work was done I don't want just the answer. using the exact values,find the value of: 12 sin 30degrees - 6 tan of 45 degress + sec 45 degrees / 52. please help!

### Trigonometry

A golfer hits a ball off of the ground with an angle of elevation of 10 degrees and an initial velocity of 240 feet per second. There is an 80 foot tree 160 yards in front of her. Will she hit the ball over the tree?

### trigonometry and geometry

A car dealership fences in a rectangular area behind their building to secure unsold vehicles. One length will be the back wall of the dealership. What is the maximum parking area that can be created if they have 2 km of fencing to use?

### Math Trigonometry

A bus driver driving south along a highway is 16 km from the nearest city. After traveling a distance of 32 km, the driver finds he is 19 km away from the same city. Find the bearing of the town from the second position of the motorist.

### Trigonometry

I'm having trouble figuring this out. An airplane has an airspeed of 160 mph. It is to make a flight in a direction of 80° while there's a 20 mph wind from 310°. What will the airplane's actual heading be? I'd appreciate any help especially on how you determined what angles ...

### Trigonometry

I'm having trouble figuring this out. An airplane has an airspeed of 160 mph. It is to make a flight in a direction of 80° while there's a 20 mph wind from 310°. What will the airplane's actual heading be? I'd appreciate any help especially on how you determined what angles ...

### Trigonometry

My question is little a=6.17,; little b=5.25, little c=3.02 . Find A

### Trigonometry

cot^2(3x)sin(2x)-sin(2x)=0 2sin^2(5x)+sin(5x)-1=0

### Trigonometry

Find the magnitude and direction of the resultant of two forces of 250 pounds and 45 pounds at angles of 25 degrees and 250 degrees with the x-axis, respectively.

### trigonometry

Find all the angles between 0 degrees and 360 degrees which satisfy the equations a. 8 cos x sin x = sin x b. 5 tan^2 y + 5 tan y = 2 sec^2 y.

### Calculus - Question

Am I allowed to do this? for the integral of ∫ sec^4 (3x)/ tan^3 (3x) dx I change it to ∫ sec^4 (3x) tan^-3 (3x) From here I use the rule for trigonometry functions.

### trigonometry

A bicycle wheel has a diameter of 2 feet and turns at the rate of 70 revolutions per minute. How fast does the wheel move in feet per hour?

### Math: Trigonometry

For how many values of n with 0<=n<=100 is the graph of f(x) = sin(x + n) identical to the graph of g(x) = cos(x)? I think that I should use the relationship that cos(x)=sin(90-x) but I'm not sure how.

### Trigonometry Help please

Write each expression in the standard form for a complex number, a + bi. A. [3(cos(27°)) + isin(27°)]^5 B. [2(cos(40°)) + isin(40°)]^6 For A i got 2.67+1.36i and for B i got 1.53+1.29i

### Trigonometry

A fisherman used a 12 foot rope to tie a boat to the dock. The rope makes an angle of 40 degrees with the ocean. How far is the boat from the dock?

### Trigonometry

Someone please help!!!? 7. What is 1/cot(x) in terms of sine? This is what I've got so far: sin = 1/csc tan = 1/cot 1+cot2(x) = csc2(x) 1/1+cot2(x) = 1/csc2(x)

### Trigonometry

how long is the cable that supports a 10m. high antenna if the cable is connected at the middle of the pole of the antenna and at the ground 6m. away from the base of the pole?

### Trigonometry

The lengths of the diagonals of a parallelogram are 20 inches and 30 inches. The diagonals intersect at an angle of 35 degrees. Find the lengths of the parallelograms sides to the nearest hundredth.

### Trigonometry

You observe a plane approaching overhead and assume that its speed is 700 miles per hour. The angle of elevation of the plane is 16° at one time and 58° one minute later. Approximate the altitude of the plane

### Trigonometry

A boy is twirling a model plane on a string that is 2 meters long. If he twirls the plane at 0.4 revolutions per second, how far does the plane travel in 5 minutes? Give your answer in meters to 2 decimal places.

### Trigonometry

Convert to polar coordinates with r greater than or equzl to 0 and theta between 0 degrees and 360 degrees Write the equation inpolar coordinates x squared + y squared = 2

### Trigonometry

Evaluate the sine, cosine and tangent of -7pi/3. I got 1/2, sq. root of 3/2 and sq. root of three. My book says the sine and the tangent are negative, but I don't know why? Can you explain the rule??

### Trigonometry

2cos^2(x) = 13sinx - 5 How do i solve for x? I think i have to use the sin^2x + cos^2x = 1, but I'm not sure how to use that. I thought about maybe doing 2(1-sin^2x) = 13sinx - 5 but then i get stuck. Any suggestions?

### Trigonometry

a 30 feet ladder resting against a building makes a 60 angle with the ground . find the Height from the ground at which the ladder touches the building to the nearest foot

### trigonometry

A plane is headed due west with an air speed of 300 mph. The wind is from the north at 80 mph. Find the bearing for the course and the ground speed of the plane.

### Trigonometry

\sqrt{i} in polar form can be written as r(\cos \theta + i \sin \theta), where r is a real number and 0 \leq \theta \leq \frac{\pi}{2}. What is the measure of \theta (in degrees)?

### Trigonometry

Every point (x,y) on the curve y = \log_{2}{3x} is transferred to a new point by the following translation (x',y') =(x+m,y+n), where m and n are integers. The set of (x',y') form the curve y = \log_{2}{(12x-96)} . What is the value of m + n ?

### Trigonometry

Solve for the following equation to the nearest degree if needed for 0 less than equal to x less than equal to 360. sin^2x=cosx 2sin^2x+cosx-cos^2x=0

### trigonometry

Draw and explain an angle of elevation of the top of a building is 60 degrees and the angle of depression of its base is 15 degrees observed from a window of another building 15m.away.

### algebra & trigonometry

At a grocery store, the number of customers arriving per hour is shown by the function f(x) = 2x + 1. Find the number of customers that arrived in the 6th hour. Thanks

### math trigonometry

a post is 20 m high. the angle of elevation of top of a house which is in front of the post is 30° from its top and 45° from foot . Find the height of house and distance between them.

### trigonometry

A wheel with a 15-inch diameter is turning at the rate of 60 revolutions per minute. To the nearest inch per minute, what is the linear speed of a point on the rim?

### Trigonometry

A building is 50 feet high. At a distance away from the building, an observer notices that the angle of elevation to the top of the building is 41 degrees. How far is the observer from the base of the building?

### Trigonometry

a man has three golden spheres with radius 1mm,2mm,3mm,respectively. He plans to melt it and make a larger sphere. What will be the radius of the larger sphere?

### Trigonometry

Express the following in radians: a.135degrees. --> (pi/180)*135 = how can i end up with a fraction answer?? b.-15degrees. --> (pi/180)* -15 = same here what are the steps to do next to get a fraction answer.

### Trigonometry

Find the remaining trigonometric ratios of θ if sin(θ) is given and θ QI sin(θ)=7/sqrt 149 cos= tan= cot= csc= sec=

### Trigonometry

Angle of Depression Find the angle of depression from the top of the lighthouse 250 feet above water level to the water line of a ship 2.5 miles offshore.

### Trigonometry

a 100 pound box hangs between two ropes T1 and T2 the angle at the top of T1 is 28 degrees and the angle at the top of T2 is 35 degrees. what does T1 and T2 equal? Must show work

### algebra & trigonometry

The profit of an organization is calculated by the function P(x) = x2 – 4000x + 7800000, where x is the number of units sold. If the net profit is 3800000, find the number of items sold. Thanks

### Trigonometry

A hill in the Tour de France bike race has a grade of 8%. To the nearest degree, what is the angle that this hill makes with the horizontal ground? Round to the nearest tenth of a degree.

### Trigonometry

A man standing on top of a mountain 1500m high observes the angle of depression of the top of a steeple to be 40 degrees, if the height of the steeple is 50m, how far is it from the mountain ?

### Trigonometry

A plane leaves an airport and flies at 36 mph on a course of 103.25° for 1 hour and 33 minutes. Then it changes course to 236.75° and flies for 48 minutes. How far is it from the airport? If it wished to return, what would be its course?

### Trigonometry

A tree casts a shadow 38 m long. At the same time, the shadow cast by a 34 centimeter tall statue is 69 cm long. Find the height of the tree to the nearest tenth.

### Trigonometry

Use the power-reducing formulas to rewrite the expression in terms of the first power of the cosine. [#1.] (sin^4x)(cos^4x) [#2.] (sin^4x)(cos^2x)

### Trigonometry

r = 1/32 v^2 sin 2 beta v is the initial velocity and beta is the angle of elevation. r = 35000 feet v = 3200 feet per second. What is the angle?

### Trigonometry

Find the counterexample to shows that the equation sec (alpha) - cos (alpha) = sin (alpha) sec (alpha) is not an identity. Please explain.

### Trigonometry

If a ship leaves port at 9:00 a.m. and sails due south for 3 hours at 14 knots, then turns N 60° E for another 2 hours, how far from port is the ship? A. 14 nm B. 17.75 nm C. 21.5 nm D. 22.6 nm PLEASE HELP!

### trigonometry

If a tree casts a shadow of 12 feet at the same time that 6 foot person casts a shadow what is the length of the three to the nearst foot

### trigonometry

Can you draw the ans. To make it clear to me , please? Establish identity: tan∅ + cot∅ -------------- = csc²∅ tan∅

### Trigonometry

Write each expression in the standard form for a complex number, a + bi. A. [3(cos(27°)) + isin(27°)]^5 B. [2(cos(40°)) + isin(40°)]^6 For A i got 2.67+1.36i and for B i got 1.53+1.29i

### trigonometry

the angle of elevation of a tower at place A south of it is 30degrees and at B west of A and a distance of 50 from it the angle of elevation is 18degrees, determined the height of the tower

### trigonometry(height and distance)

The shadow of a tower when the angle of elevation of the sun is 45 degree is found to be 5m longer when it is 60 degree. Find the height of the tower.

### trigonometry(height and distance)

The shadow of a tower when the angle of elevation of the sun is 45 degree is found to be 5m longer when it is 60 degree. Find the height of the tower.