# Trigonometry (Law of Sine)

8,525 results

Solve for following applying spherical trigonometry... 1.Papua New Guinea (37° 45'N, 122°27'W)(since course was 260°) distance travelled =2250nm. A) use law of cosine to calculate a and thus altitude:or B) use law of sine to calculate N and thus longitude: or C) use law of ...

### 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" I have to use logarithms and law of tangents . and then provide the check. which says law of sine or mollweids equation. I can't us the cosine law. If you ...

### Summer School Calculus

Add the following vectors , 7m/s [N30E] and 2m/s [S17E], using trigonometry. Once you draw these out into diagrams, you use the triangle law yes? How do you find the angles to use in the cosine and sine law? A little confused, thanks for the help.

### trigonometry ?

A cottage under construction is to be 15.6m wide. The two sides of the roof are to be supported by equal rafters that meet at a 52 degree angle. Determine the length of the rafters to the nearest cm using a) the cosine law b) the sine law I am not understanding this question ...

### Trigonometry

Cos D= -3/4. if the sine of the angle is positive, find the sine of the angle and determine the quadrant. Can anyone tell me the steps. I need to learn this.

### CALCULUS

How do I do this: add the following vectors , 7m/s [N30E] and 2m/s [S17E] I know that you must use trigonometry and break stuff up into components and use sine and cosine law; just not sure how. Thanks!

### 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??

### 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!!

### PreCalc (Sine)

I'm having trouble understanding a sine concept. For instance, I know that the sine of 15 is .25881. Likewise, the sine of 165 is also .25881. How can I find other values of sine that also equal .25881? Thank you very much.

### 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 (repost) Mathmate

I want to start by saying thank you . You have no idea how much u have helped me understand logarithms, even better then the books i have (it poorly explains the subject of trigonometry let alone logarithms and antilog). Your last explanation was very clear and i even ...

### Trigonometry

I had to find the sine, cosine and tangent of -150 degrees. I got - sq. root of 3/2, -1/2, and - sq. root of 3/3. But my book has -1/2 as the sine, and -sq. root of 3/3 as the cosine. Why is this? I thought that it was thirty degrees away from the axis, so I should use pi/3.

### Calculus and Vectors

In triangle RST, RS=4, RT=7, and ST=5. Determine the measures of the angles to the nearest degree. I solved correctly for T's angle of 34 degrees. Once I try using the sine law to solve for angle S, I keep getting 78 degrees, when it's supposed to be 102 degrees. I tried ...

### trigonometry

If you know the sine of a number, how do you find its cosine?

### Trigonometry (Law of Sine)

Triangulation can be used to find the location of an object by measuring the angles to the object from two points at the end of a baseline. Two lookouts 20 miles apart on the coast spot a ship at sea. Using the figure below find the distance, d, the ship is from shore to the ...

### trigonometry

in triangle abc, angle c is a right angle, AC=8,Bc=15 and AB=17 a.find Sine a b.Find cosine A c.Find Sine B d. Find COsine B E. the measure of angel A f. the measure of angela b Can u tell me the answers and how to do it. Because im in 8th grade

### Trigonometry (Law of Sine)

Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire to the nearest tenth of a mile?

### Trigonometry (Law of Sine)

Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire to the nearest tenth of a mile? With ...

### Trigonometry (Law of Sine)

Triangulation can be used to find the location of an object by measuring the angles to the object from two points at the end of a baseline. Two lookouts 20 miles apart on the coast spot a ship at sea. Using the figure below find the distance, d, the ship is from shore to the ...

### trigonometry

How to verify this identity: 1+ tan x (over) = secant x sine x + cos x

### Physics

A horse runs 15 m [N 23° E] and then 32 m [S 35° E]. What is the total displacement of the horse? I can't even visualise this... My friend told me the basic steps on how to solve it, but I got the wrong answer anyways... d1 = 15 m [N 23° E] d1x = 15m sin 23° = 5.9 m d1y = ...

### Trigonometry

Use the trigonometric subtraction formula for sine to verify this identity: sin((π / 2) – x) = cos x

### math

could someone please help.... a cottage under construction is to be 35.6m wide. the two sides of the roof are to be supported by equal rafters that meet at a 52 degree angle. determine the length of the rafters to the nearest cm using the cosine law and the sine law.

### 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!

### Math

While evaluating the sine of a particular angle, an absent minded student failed to notice that his calculator was not in the correct angular mode. He was very lucky to end up with the right answer. What are the two smallest possible values of x such that the sine of x degrees...

### trigonometry

If sine of an angle is ¼ and cosine of an angle is 15/4.. find cosecant.

### trigonometry

in triangle abc, m<c=90, bc=20, and ba=40. a.find sine a b.find measure of <a

### Pre-Calculus (Trigonometry)

An angle in standard position such that sinÈ = 5/13. Determine the possible values of È, to the nearest degree. Answer: I got 23°. (How do I get the second one?)

### 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?

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

### Math-Trigonometry

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

### Algebra 2....

1. An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measurements. Then solve the triangles. Round to the nearest tenth. a=4.2 cm b= 5.7 cm measure angle A= 39 degrees 2. What angle in the first quadrant ...

### Algebra 2 ..

1. An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measurements. Then solve the triangles. Round to the nearest tenth. a=4.2 cm b= 5.7 cm measure angle A= 39 degrees 2. What angle in the first quadrant ...

### Algebra2---

1. An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measurements. Then solve the triangles. Round to the nearest tenth. a=4.2 cm b= 5.7 cm measure angle A= 39 degrees 2. What angle in the first quadrant ...

### Geometry

The word cosine literally means "the complement of the sine." Write a paragraph explaining how complements of sine and cosine are connected. I know that the sine and the cosine of complementary angles are the same. but how can i add more details/write a paragraph?

### Math (trigonometry)

How do you get the second triangle when you have an ambiguous case of sine law? For example, if you are given the following information for a triangle: a = 7.2 mm, b = 9.3 mm, <A = 35° I can solve for one triangle: Find <B, <C, side c. <B: sinB/9.3 = sin35°/72 ...

### Physics

Which of the following equations describes the condition for observing the fourth bright fringe in Young's double-slit interference pattern? Assume n = 0 for the central bright fringe. Which of the following equations describe the condition for observing the fourth dark fringe...

### Trigonometry

Write the equation of a sine wave (also called sine curve) given: 1. amplitude = 2 period = pi/2 phase shift = pi/8 vertical shift = 1 2. amplitude = 4 period = 3 phase shift = 2 vertical shift = -1 3. amplitude = 4 period = pi phase shift = -(pi/3) vertical shift = 0

### math

If your drawing a sine graph and you have to mark the point sine(65, how do you figure out where the point goes? (The sine graph goes up to 1)

### Trigonometry

express in terms of sine and cosine. a) tan theta/ cot theta i know the answer is sin^2 theta / cos ^2 theta but how do you do it?

### Trigonometry

A sine function has an amplitude of 4/7, period of 2pi, horizontal shift of -3pi, and vertical shift of 1.  What is the y-value of the positive function at x= pi/2?

### Pre-Calculus

Solve the triangle. Round to the nearest tenth. B=54deg a=42 c=6.5 1. I found length of b using law of cosine and got 36.2 2. Using side of b, I used the law of sine to get angle A = 28.2 3. I added B+A and subtracted from 180 to get angle C = 127.8 which DOES NOT make sense ...

### Trigonometry

Let è be the angle between the x-axis and the line connecting the origin O(0,0) and the point P(−3,−4) , where 180<è<270. Given that sinè+cosè+tanè=−a/b, where a and b are coprime positive integers. What is the value of a+b?

### Geometry

What is the sine of a 30 degree angle? I need help. I don't know how to do this. The answer choices I have must be the square root of the sine 30 degrees. Thanks! Jason Crocker

### Trigonometry

Use a sine function to graph a sound wave with a period of 0.004 of a second and an amplitude of 3 cm. Find the frequency in hertz for this sound wave. (Enter only the number.)

### math

could someone please help. given each set of data for ∆ABC: a) solve for b given ∠B=88 degrees,a=31.5m,c=25.6cm b) solve for a given ∠B=66 degrees,∠C=28 degrees,c=11.6cm i) state whether the sine law or cosine law is required to solve the unknown value...

### Trigonometry with right triangles

Given the value of cos 25° ≈ 0.9063, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of complementary angles. cos 25° =___ ° ≈ ____

### Trigonometry

Law of Cosines a=4.7 b=3.2 c=5.2 Find B

### trigonometry

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

### Math

Use sine law to explain why the 2 equal sides of an isoceles triangle must be opposite the two equal angles

### physics

Fretta and her brother deucde to visit some friends near a house.they decide to travel along the road and go 250 m(W),360 m(W40degreesN), and then200 m(N).. we need to find :the resultant displacement. hi please help me with this, so far iv figured it out as a rombus shape, so...

### physics

Fretta and her brother deucde to visit some friends near a house.they decide to travel along the road and go 250 m(W),360 m(W40degreesN), and then200 m(N).. we need to find :the resultant displacement. hi please help me with this, so far iv figured it out as a rombus shape, so...

a yacht is sailing at a speed of 12 knots due south in calm water. if the tacht encounters a current of 4 knots from bearing 040 degrees: determine the resultant speed and direction of the yacht. here is my answers: 15.28 knots from bearing 9.69 degrees.am i right? thanks. ...

### 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)

### math02 / trigonometric

solve the following oblique triangles using sine law. Given: Y=55 degree 10 minute, b=125cm, beta=9 degree?

### Trigonometry

Solve the triangle using the law of cosine: a= 5 b= 6 y= 35

### Trigonometry

these values right? tan theta=2/3 sec theta=Squareroot(13)/3 sine=2xSquareroot(13)/13 Cos=3xSquareroot(13)/13 Tan=2/3 Cosecant=Square root (13)/2 Secant=Squareroot(3)/3 Cotangent=3/2

Fretta and her brother deucde to visit some friends near a house.they decide to travel along the road and go 250 m(W),360 m(W40degreesN), and then200 m(N).. we need to find :the resultant displacement. hi please help me with this, so far iv figured it out as a rombus shape, so...

### Precalculus

Find the exact value of cos(u+v) given that sine u=4/5 with u in quadrant II and sine v = -12/13 with v in quadrant IV. Not sure how to even begin.

### sine and cosine

Simplify and write the trigonometric expression in terms of sine and cosine: sin x + (cot x)(cos x) = (1/f(x)) f(x)= ?

### math trigonometry

A ladder 8.5m long is placed with its foot at a distance of 4m from the wall of a house and just reaches a window will . find the height of a window will and the sine and tan of the angle which the ladder makes with the wall

### Trigonometry

A triangle has two angles, one 90 degrees, the other (between adjacent and hypotamuse) 26 degrees, and a hypotamuse of 10ft. Find the opposite side's length. Hint: use sine. I think I'm supposed to do 10(sine26), but the answer isn't right. What am I missing? Thanks!

### cosine and sine HELP!

Simplify and write the trigonometric expression in terms of sine and cosine: ((2+tan^2 x)(sec^2 x))-1 = (f(x))^2 f(x)= ???

### Math

calculus help needed example: sin-1(-1/2) how do you figure this out? The sin^-1 means the arcSin, or the angle whose sine is ... so sin^-1(1/2) is the angle whose sine is -.5, which is -30 degrees. In your calculator, put in -.5, then press INV sin. so as my answer do i put ...

### Trigonometry

When using the Law of Cosines, how do I know if two triangles exist?

### math,trigonometry

how do i state the law of sines and cosin in words ??

### ALGEBRA help

What is the graph of one cycle of a sine curve with the given characteristics? Using the form y = a sin bÎ¸, what is an equation for the sine curve? amplitude = 4, period =1/4 pi , and a < 0.

### Trigonometery

What is the graph of one cycle of a sine curve with the given characteristics? Using the form y = a sin bÎ¸, what is an equation for the sine curve? amplitude = 4, period =1/4 pi , and a < 0

### algebra

What is the graph of one cycle of a sine curve with the given characteristics? Using the form y = a sin bÎ¸, what is an equation for the sine curve? amplitude = 2, period =2 pi , and a < 0.

### Algebra 2

I meant to type this one: If the sine of an acute angle is 0.8, what is the sine of twice that angle? 1.60 or .64? Thanks

### 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 ...

### Graphing trigonometric function

sine and cosine have a period 2pi tangent and cotangent have period pi Can someone explain why? thanks a lot. well tangent is sine/cosine and there a place where the tangent function is undefined and that is where the asymptotes occur. the same is true with the cotangent since...

A plane is steering at S83degreesE at an airspeed of 550 km/h. the wind is from N70degreesE at 85 km/h. Determine the ground velocity of plane to one decimal. Use the cosine and sine law.

### math

Which statement is ALWAYS true? A) The sine of an angle is equal to the sine of the angle's complement. B) The cosine of an angle is equal to the sine of the angle's supplement. C) The sine of an angle is equal to the cosine of the angle's complement. D) The cosine of an angle...

### Math (trigonometry)

A surveyor wishes to find the height of a mountain. He selects points A and B on level ground along the same line of sight to the mountain. He measures the distance AB to be 1503 m and the angles of elevation of the top of the mountain from the points to be 16.9° from A and ...

Given b=10, angle B=48 degrees, angle C=58 degrees, find c Do I use the law of sine or cosine?

### math (domain)

whats the domain and range of sine and tan? The sine ranges from -1 to +1. Its domain is all postive and negative numbers. I will be happy to critique your thinking on tangent.

### math

Two paper strips each 5 cm wide are laid across each other at an angle of 30 degrees. Determine the area of the overlapping area. I have no idea where to start with this question or how to go on. I know it has to do with cosine or sine law. But what do I do

### Trigonometry

Using the Law of Cosines, how can I show that the measure of each angle of an equilateral triangle is 60 degrees?

### math

use the unit circle to determine the exact value of each angle: sine 30 degrees, cosine pi, sine 11 pi divided by 6, and cosine 135 degrees.

### Trigonometry

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x − 2 D. y = sin (x − 2) 3. What is tan-¹ √3/3 ? A. π/4 B. -π/3 C. π/6 D. -π/4 4. cot...

### Trigonometry

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x − 2 D. y = sin (x − 2) 3. What is tan-¹ √3/3 ? A. π/4 B. -π/3 C. π/6 D. -π/4 4. cot...

### Pre-Calculus

Which of the following statements best describes the domain of the functions sine and arcsin? A)Sine domain is all real numbers; Arcsin domain is all real numbers. B)Sine domain is restricted; Arcsin domain is all real numbers. C)Sine domain is all real numbers; Arcsin domain ...

### trig

A sinusoid (sine curve) rises from a minimum value of y=-8 at x=0 to a maximum value of y=40 at x=50. Write a sine function for this curve

### Trig Functions

Which of the following lists contains only functions with vertical asymptotes in their graphs? A. Cosine, sine, tangent, cotangent B. Tangent, secant, cosecant, cotangent C. Sine, tangent, secant, cosecant D. Cosine, sine, secant, cosecant

### AMBIGUOUS CASE OF SINE LAW

Triangle DEF where triangle E = 144 degrees, e = 10.5m and f = 12.5m. Determine the number of possible triangles that could be drawn with the given measures. Then, find the measure of the other angles in each possible triangle.

### government

Which branch of the law regulates wrongful acts involving injury to one’s person, property, or reputation in a situation not covered by the terms of a contract? A. common law B. tort law C. civil law D. contract law

### government

Which branch of the law regulates wrongful acts involving injury to one's person, property, or reputation in a situation not covered by the term of a contract? A. common law B. tort law C. civil law D. contract law

### bus law

What is the chronological order of the major legislation that makes up the history of employment law in this country? For each law, state the social problem the law was designed to address, and discuss how employment law has affected the workplace in the last two decades.

### trig

2sinxcosx+4sin^2xcos^2x=0 solve for x in radians between [0,2pi) (I mean that it is sine squared x and cosine squared x not sine to the power of 2x or cosine to the power of 2x)

### Science-Chemistry

1. What is Charles’s law? • State the definition of the law in words. • What are the assumptions of Charles’s law? • Write mathematical equations that represent the law. • What can you do with Charles’s law? • Using a gas-filled balloon as an example, describe ...

### Trigonometry

All values of theta are positive. From left to right, the first peak occurs at (pi/2,1) and the second peak occurs at (9pi/2). A. Write the graphs equation as a cosine function. B. Write the graphs equation as a sine function.

### math-grd 11

what do they mean by sine regression? i am currently working on the grd 11 isu and i am just wondering how i am supposed to incorpporate sine regreession into it? my isu is, you have a picture you have to find a curve in it and figure out the equation of it

### Trigonometry

Law of Sines sigma=27 deg 30' c= 52.8 a=28.1 Please show two solutions (beta1, beta2,...) due to acute and obtuse angles. Thank you so much for helping!

### Government Law question

What kind of law is it when judges make the law by their decisions on the bench? ___ Law

### trigonometry

how do you find sin theta and cosine theta of angles? ex. Find the sine theta and cosine theta of 150 degrees as well as the degrees in radians?

### Law

Research and identify a labor law that is specific to your state. Share a brief summary of the law with us and discuss why you believe this law is or is not important to the employer-employee relationship.

### trigonometry

If A is a positive position angle of the point, (4, -2), answer each of the following.Rationalize all the denominators. a) sin A= b) cos A= c)tan A= ____________________________________ I got -(square root of 20) for sine, (square root of 20) over 5 for cosine, and -1/2 for ...

### Trigonometry

(Triangle ABC is scalene) AC is a straight shore line and B is a boat out at sea. Angle A is 60 degrees and Angle C is 45 degrees. Find the shortest distance from the boat to the shore if A and C are 5km apart...I honestly have no idea where to start with this. I drew it out, ...

### physics

The width of the doorway is 83 cm, and the speed of sound is 343 m/s. Find the diffraction angle when the frequency is each of the following. (a) 4.8 kHz If theta is the diffraction angle. Sine(theta)= lambda/slit width where lambda = wave length so you need to find the ...