# trigonometry

2,056 results, page 14

### Trigonometry

I'm trying to find the cosecant of 11 pi/6. The answer is -2, but I'm not sure where this came from. I thought You would flip the sine value which was sq. root of 3/2, making it 2/sq. root of three, which would then become sq. root of -6 over 3 or sq. root of -2. Why isn't ...

### trigonometry

The problem is: Solve each of the following equations over the interval [0,2Pi). 2sin^2 x - 1 = 0 The answers are: Pi/4, 3Pi/4, 5Pi/4, 7Pi/4 I know how to get the first two answers, but I'm not sure how you get the last two answers, since sin would be negative in quadrants 3 ...

### plane and spherical trigonometry

a farmer has a triangular garden with two sides at right angles and the third side measuring 380 (feet long.)Find the perimeter of the garden if the angle between the shaded side and the longest side is 52(degrees)

### Trigonometry

What is cos (pi/2 - x) secx using the fundamental identities to simplify the expression. I think I have the right answer but I want to check to make sure. Well, cos (pi/2 - x) is something you should've seen already. It's just another name for sin(x). Also, sec(x) is the same ...

### trigonometry

Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30" Also Give checks. I know the use of logarithms is unnecessary but i have to show my solution by using logarithms and that's the only reason I'm asking for help...

### trigonometry

There is a plane arriving into Denver, CO. The plane is landing with an angle of depression of 42°. The plane is 18,000 feet off of the ground. Find how far the plane will travel horizontally before hitting the ground. (Round to the nearest hundredth)

### Trigonometry

A vertical pole 40 feet tall stands on a hillside that makes an angle of 17 degrees with the horizontal. Approximate the minimum length of cable that will reach the top of the pole from a point on the hillside 72 feet downhill from the base of the flagpole.

### Math 12A Plain Trigonometry

a boat leaves lighthouse P and sails 10 miles. At the same time, it is sighted from lighthouse Q, 13 miles west of P. The bearing of the ship from Q is North 70 degree and 30 minutes East. Find the distance of the ship from Q.

### Trigonometry

two airplanes leave an airport at the same time one hour later they are 189km/hr apart. if one plane traveled 168km/hr and the other traveled 244km/hr for the hour what is the angle between their flight path

### Trigonometry

What value(s) of theta solve the following equation? cos^2(theta)-cos(theta)-6=0? I try plugging in different numbers but I am not sure exactly what I am looking for in order to solve?

### Trigonometry

Navigation A ship leaves port at noon and has a bearing of S 29° W. If the ship sails at 20 knots, how many nautical miles south and how many nautical miles west will the ship have traveled by 6:00 P.M.?

### Trigonometry

Hi, I really need help in understanding how to solve trig equations. How do you solve this equation? Solve the equation on the interval 0 < or equal to x < or equal to 2pi. sinx = (square root of 3)/2 I appreciate your help. Thank you!

### trigonometry

A tent pole is 85 feet high. A cable is attached to the ground 200 feet from the tower base. How long is the cable? What is the measure of the angle the cable makes to the ground?

### trigonometry

A Wheel of radius 14in. is rotating 0.5 rad/sec. What is the linear speed v, the angular speed in RPM ( rev per min), and the angular speed in deg/sec?

### Math - Trigonometry

Verify the following: 1. cos x/(1-sinx)= sec x + tan x 2. (tanx+1)^2=sec^2x + 2tan x 3. csc x = )cot x + tan x)/sec x 4. sin2x - cot x = -cotxcos2x

### algebra/trigonometry

What are the values of theta in the interval 0degrees less than or equal to theta less than or equal to 360 degrees that satisfy the equation tan theta - radical3=0

### Trigonometry

How am I suppose to transform the left side of the equation into the right side using trig identities? ): 1) sin^2θ - cos^2θ = 2 sin^2θ - 1

### trigonometry

A sector AOB of a circle, centre O, radius r cm, where the acute angle AOB is theta radians. Given that the perimeter of the sector is 14 cm and that the area of the sector is 10 cm^2, evaluate r and theta.

### Plane and Spherical Trigonometry

A man walks 20 meters from point A to point B, Then he turns 80 degrees and walks 35 meters towards point C. How long is the distance AC? Draw the triangle

### Trigonometry

Solve the equation cos2θ = 1/2sinθ 0º≤θ≤90º. (Hint: Graph each side of the equation and determine where the graphs intersect.)

### Trigonometry

Directly below a 50m. high cliff is the side of a river. How wide is the river if the angle of depression from the edge of the cliff to the other side of the river is 57.68 degree

### Trigonometry

A little boy is flying a kite. The string of the kite makes an angle of 30 dgrees with the ground. If the height of the kite is h equals 15 m, find the length (in meters)of the string that the boy has used.

### Trigonometry

I just want to know if this answer is correct, 120/169. Use identities to find the indicated value for each angle measure. sin θ = 12/13, cos θ > 0 Find cos (2θ).

### trigonometry

The side of a lake has a uniform angle of elevation of 15 degrees 30 feet. How far up the side of the lake does the water rise if the height of the lake increases by 7.3 feet during flood season.

### trigonometry

R and S are in the same horizontal plane as the base of a cliff, but R is 132.6 meters nearer it than is S. They find the angles of elevation of the top of the cliff to be 32 degrees and 36 minutes and 63 degrees and 13 minutes. how high is the cliff?

### Trigonometry

You are flying a kite while standing 60 ft from a fence. If the kite string makes a 40 degree angle with the ground, how much string, in feet, is let out when the kite is directly above the fence?

### Trigonometry

Two fire towers are 30 km apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14° N and W 34° N, respectively. Find the distance d of the fire from the line segment AB.

### trigonometry

A kite string is 350 meters long. The angle the string makes with the ground is 50 degrees. How far from the person holding the string is a person standing directly under the kite?

### Trigonometry

a satellite camera takes a rectangular - shaped picture. the smallest region that can be photographed is a 4 - km by 6 - km rectangle. as the camera zooms out, the length l and width w of the rectangle increase at a rate of 3km/sec. how long does it take for the area A to be ...

### Trigonometry

Express each of the following as a single logarithmic expression. All exponents must be left in radical form: 1.) 2logx-3logy 2.) logx-logy+logz 3.) 1/3log5x+2/3log6x 4.) 2/3(logbase2 x - logbase2 y) I don't understand these problems at all. Can someone please solve and ...

### Trigonometry

Write equivalent equations in the form of inverse functions for a.)x=y+cos è b.)cosy=x^2 (can you show how you would solve) a.) x= y+ cos è cos è = x-y theta = cos^-1(x-y) b.) cosy=x^2 cos(y) = x^2 y = Cos^-1(x^2)

### trigonometry

if cosθ=2/3 and tanθ<0 find the exact value sin(θ-5π/3) sin2θ cos2θ cos(θ/2) can some1 please help me?

### maths

Sine and Cosine rule are both used in solving trigonometry problems.Give an example of when the cosine rule is more appliciable than the sine rule?

### Trigonometry

An observer (0) spots a plane flying at a 55 degree 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 (0)

### Math-Trigonometry

Show that if A, B, and C are the angles of an acute triangle, then tan A + tan B + tan C = tan A tan B tan C. I tried drawing perpendiculars and stuff but it doesn't seem to work? For me, the trig identities don't seem to plug in as well. Help is appreciated, thanks.

### Trigonometry

Could someone please help me with the following q's I'm having some trouble: 1.) cot θ (theta) = 0.791, find sec θ and tan θ 2.) tan θ = 9/40, what is the value sin^2θ + cos^2θ

### Trigonometry

The angles of elevation of an office building as observed from the top and ground level of a 10 meters tall residential building are 68° and 72° respectively. How tall is the office building? How far apart are the two buildings?

### trigonometry

From a window 20m above the ground, a person could see the top of the house across the street at an angle of elevation of 5 degrees. The angle of depression to the base of the house was 15 degrees. What is the height of the house?

### Trigonometry

Three forces with magnitudes 75 pound, 100 lb, and 130 pound act on an object at angles of 25 degrees, 55 degrees, and 145 degrees respectively. Find the direction and magnitude of the resultant of these forces.

### Advanced Functions/Precalculus

Trigonometry Questions 1.) Find the exaqct value of tan(11π/12) 2.) A linear trig equation involving cosx has a solution of π/6. Name three other possible solutions 3) Solve 10cosx=-7 where 0≤x≤2π

### trigonometry

please help me to solve this problem: calculate the angular velocity of a point for the given number of revolutions and time. express the answer on in radians per minute. 1.θ=1/2;t=2min. 2.θ=1/4;t=5min. 3.θ=2/3;t=10min. 4.θ=3/5;t=12min. 5.θ=5/6;t=15min...

### trigonometry

can you tell me how to actually do this. find thenumebr of radians through which the hour hand of a clock turns in 5 hours. i don't know what i did, this is what i wrote: 360degrees=1 hour 1800 degrees=5 hours 1800(pi/180) somehow i got 10pi which is apparantly wrong.

### Pre-Calc/Trigonometry

You place a cup of 205oF coffee on a table in a room that is 72oF, and 10 minutes later, it is 195oF. Approximately how long will it be before the coffee is 180oF? Use Newton's law of cooling: 1 hour 25 minutes 15 minutes 45 minutes

### Trigonometry/ please help!

Assume that simple harmonic motion of a spring is described by the equation S=4 cos πt/ 2 where s is in centimetres and t is in seconds. When during the time 0<=t<=8 is the spring passing through the origin? I attempted this question but the graph doesn't pass ...

### trigonometry

Solve the equation in the interval [0, 2pi]. 2sin(t)cos(t)-cos(t)+2sin(t)-1=0 Answer needs to be formatted as x={Insert answers here}pi If the answer is something like pi/6 it simply goes in as 1/6th since pi is already given at the end.

### **tRiGoNoMeTrY**

A weight is oscillating on the end of a spring. The position of the weight relative to the point of equilibrium is given by y=1/12(cos8t-3sin8t), where y is the displacement (in meters) and t is the time (in seconds). Find the times when the weight is at the point of ...

### trigo

In a right tringle ,angle ABC has a value of 37 degree while its opposite side is equal to 5,where angle c=90 degree Find A.)Remaining sides of the triangle B.)Angle ABC using any trigonometry Functions

### Trigonometry

A black bordering Sapphire St. is a right triangle. You start walking around the block, taking 125 paces on sapphire st. and 102 paces on Diamond st. a.) At what angle do Diamond and Sapphire Street Intersect ?

### trigonometry

A tree is broken over by the wind. It forms a right angled triangle with the ground. If the broken part makes an angle of 60° with the ground and the top of the tree is now 20m from its base, how tall WAS the tree?

### trigonometry

A tree broken over by the wind forms a right triangle with the ground if the broken parts makes an angle 50 degree with the ground and the top of the tree is now 20 feet from its base how tall the tree?

### Trigonometry

You are making a garden in a triangular lot, and needed a top soil of mixed humus and fertilized. what is the area of the lot needed to cover by soil if the edge of the lot measures 10ft.,8ft. and 6ft.,?

### Trigonometry

A tree is broken by wind forms a right angled triangle with the ground. If the broken part makes an angle 60 degree with the ground and the top of the tree is now 20 metre from its base,how tall was the tree?

### TRIGONOMETRY

Write the following trigonometric expression as an algebraic expression in x free of trigonometric or inverse trigonometric functions sin(cos^-1 x) -1≤x≤1

### Trigonometry

1. If tanθ = –√3 , what is the value of cot ? 2. Find the value of 3sec2.4. (Round to the nearest tenth.) 14.if sinθ = -4/5 and tanθ = -4/3, what is

### Trigonometry

find the angle theta in standard position with 0 degrees greater than or equal too theta greater than 360 degrees which corresponds to the bearing N 35 degrees W.

### Trigonometry - finding cos 36 given cos 72?

Please help, I know cos 72 degrees = (sqrt 5 - 1)/4. I need to know what cos 36 degrees is. How to do so?

### Precalculus with Trigonometry

Graph f(x) = sin(3x)/sin(x) - cos(3x)/cos(x) and make a conjecture. Prove your conjecture.

### Trigonometry

(1/(cscx+1))-(1/(cscx-1))

### One Trigonometry Question Please Help!

Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 18 inches long. What is the side length of each piece? 9 inches 9ã3 inches 18ã2 inches 9ã2 inches Thank You I Really Appeciate it! :)

### trigonometry

I need help in understanding how to identify which identity to use. using this question as an example. Show that tan theta (sin theta+cot theta cos theata)all over cos theta = sec^2 theta. Please explain.

### trigonometry

An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 35° and to the other is 55°. How far apart are the cars? (Round your ...

### Trigonometry

Round your answer to three significant digits. Use the distances shown in the following figure to determine the depth of the submarine below the surface of the water. Assume that the line segment between the surface ships is directly above the submarine. a = 719 b = 585 c = 445

### Trigonometry

Two men on the same side of a tall building notice the angle of elevation to the top of the building to be 30 dgrees and 60 dgrees respectively. If the height of the building is known to be h equals 60 m, find the distance (in meters)btween the 2 men.

### geometry/trigonometry

Triangle ABC is similar to triangle APQ with angle CBA equal to angle QPA and angle A common to both triangles. the length of sides AB, AP and PQ are 90cm,60cm and 30 cm. calculate the length of the side BC

### Trigonometry

Mountain officials want to build a new ski lift from B to C as shown in the figure below. The distance from A to C is 1480 feet. They measure angle DAC to be 32 degrees and angle DBC to be 18 degrees. What is the distance A from to B? Round your answer to the nearest tenth of ...

### trigonometry

Verify that following are identities: 1. cos 3t = 4 cos³ t-3 cos t 2. sin 4x = 8 sin x cos³ x-4 x cos x (use a double-angle identity)

### trigonometry

A satellite is orbiting the Earth in a circular orbit. It orbits the Earth 3 complete revolutions every 24 hours. How many radians does it travel in 19 hours? i think its 19pi radians or 19/2pi radians im kinda conufsed about what i did..need help

### Trigonometry

A hinged crane which measures 19m makes an angle of 50° with the ground. A malfunction causes the lock on the hinge to fail and the top part (of 14.6m) of the crane swings down. How far from the base of the crane does the top hot the ground.

### Trigonometry

The diagram below shows a mass, a spring, and a near-frictionless surface. If you pull the mass back 10 cm and then release it, the mass starts to oscillate. The distance of the mass from the wall is modeled by the equation y = 3sin(4pi t + pi/2) + 7 cm, where t is the time in...

### Trigonometry

if cot 2θ = 5/12 with 0≤2θ≤π find cos θ, sin θ, tan θ

### Trigonometry

Help : To achieve similar weightlessness as NASA's centrifuge, ride the Gravitron at a carnival or fair. The Gravitron has a diameter of 14 meters and, in the first 20 seconds, it achieves zero gravity and the floor drops. Gravitron. If the gravitron rotates 18 times per ...

### maths (trigonometry)

if cosx-sinx=root 2 sinx, then what is the value of cosx+sinx. How

### Trigonometry

If A + B + C = 180°, Prove that Sin² (A/2) + sin² (B/2) + sin²(C/2) = 1 – 2sin (A/2) sin (B/2) sin(C/2)

### trigonometry

Find all the solutions of x,for 0 is less than x is less than 2 pi a. Sin(x + pi/4 + sin(x - pi/4)= -1 b. Sin(1/3 x+5) = 1/2

### Trigonometry

A jet plane flying 6000 m above the ground passed directly above Ana. one minute later, Ana noticed that the plane's angle of elevation was 18 degrees 34 minutes. What was the horizontal distance covered by the plane?

### Trigonometry (Math)

From a point 5m. above the water surface, the angle of elevation of the top of a certain tree is 40°10' while the angle of depression to the foot of the tree is 63°20'. Find the height of the tree and the distance from the point of observation. -Complete Solution Please. ...

### trigonometry

a ferris wheel is 50 meters in diameter with the bottom of the wheel 1 meter off the ground it makes a full revolution in 12 minutes. What function would track the height above the ground for a point that is at the bottom of the wheel when it starts moving?

### Trigonometry

1. Find the exact value of the following (Think identity) Cos(2 Arccos(5/13)) 2. Solve the following equation for 0° ≤ Θ < 360° Sec(Θ)= tan(Θ) + cos(Θ)

### trigonometry

a ladder which is 5 m long leans against a nail on the wall.it makes an angle of 62 derees with the ground. find the height of the nail above the ground and the distance of the foot of the ladder from the wall.

### Trigonometry

A baseball diamond is a square with sides 27.4m. The pitchers mound is 18.4m from home plate on the line joining home plate and second base. How far is the pitcher's mound from first base?

### math,trigonometry

a 35-foot long ladder is leaninig against the wall of a building. how far from the ground is the top of the ladder and how far from the base of the buildings is its foot if it makes a 20° angle with the wall ?

### Trigonometry

Suppose *u* is a quadrant IV angle with cos(u) = 3/5. Suppose *v* is a quadrant IV angle with cos(v) = 12/13. Find the exact value of sin(u-v) I have gotten to sin120cos150 - sin150cos120 but I am not sure I am correct up to that point and I don't know where to go from there.

### Trigonometry

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 95 degrees occurs at 3 PM and the average temperature for the day is 80 degrees. Find the temperature, to the nearest degree, at 8 AM

### Trigonometry

Two sides of a triangle are 5 and 8 units respectively. If the included angle is changing at rate of one radian, at what rate is the third side changing when the included angle is 60 degrees?

### trigonometry

If a flywheel is 3 feet in diameter and if a belt over the wheel is traveling at the rate of 3000 feet per minute, find the number of revolutions of the wheel per minute.

### Trigonometry

Write the trigonometric expression as an algebraic expression. 1.) SIN(ARCSIN X+ARCCOS X) ANSWER: 1 2.) SIN(ARCTAN 2X-ARCCOS X) ANSWER: 2x²-SquareRoot of 1-x²/Square Root of 4x²+1.

### Math Trigonometry

Given w=2+2i and v=−5√3+5i, vw^2 can be expressed as r*(cos(α∘)+i*sin(α∘)), where r is a real number and 0≤α≤360. What is the value of r+α?

### Grade 12 Trigonometry

Angle a lies in the second quadrant and angle b lies in the third quadrant such that cos(a)=-3/5 and tan(b)=24/7. Determine an exact value for a) cos(a+b) b) sin(a-b) c) sin2a

### TRIGONOMETRY *(MATHS)

Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx (ii) (1+cotx+tanx)(sinx-cosx)/sec^3x-cosec^3x = sin^2xcos^2x.

### Math - Trigonometry

From an aeroplane, at an altitude of 2.3km, the angle of depression of the airport is 32Degrees and the angle of depression of the town is 18degrees (both are in direct line ahead of the plane) How far is the town from the airport?

### oblique triangle trigonometry

A parking lot has the shape of a parallelogram. The lengths of two adjacent sides are 70meters and 100meters. The angle between the two sides is 70o. What is the area of the parking lot?

### Math - trigonometry

A bridge is 70m long. From the ends of the bridge the angles of depression of a point on a river under the bridge are 41 degrees and 48 degrees. How high is the bridge above the river?

### trigonometry

a flagpole 25 feet high stands on the top of a tower, which is 105 feet high. at what distance from the base of the tower will the flagpole subtend an angle of 3 degrees, 20 minutes?

### Math - Trigonometry

If sin theta +cos theta =1.2, then what is sin^3 theta + cos^3 theta? Hmm...I don't understand how to proceed. I know I must apply a trig Identity, but which one? Thanks in advance

### Trigonometry

From a window of one building, the angle of depression to the base of the second building is 29.5, and the angle of elevation to the top is 47.833333. If the building are 200m apart, how high is the second building?

### Trigonometry

1. Using the definitions of odd and even functions, explain why y=sin x+1 is neither odd nor even. 2.Using the definition of an even function, show that y=-cos is even.

### trigonometry

two angle of a triangle are 38 degree 27 minutes and 48 degree 42 minutes, respectively. if the longest side of the triangle is 256.6 cm ong find the length of the shortest side.

### Math: Trigonometry

Quadrant III, csc(theta)= -1.25, find tan(theta) Quadrant IV, sec(theta)= 4/3, find cot(theta) Please provide the work for both. Thank you!

### Trigonometry

Find the general solution of the following equation. sin (5x) = cos (3x) sin (6x) sin (x) = cos (3x) cos (4x) Thanks for your help :)