Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 282780: Two tow trucks try to pull a car out of a ditch. One applies a force of 1500 lbs, the other 2000lbs. The resultant force is 3000lbs. What is the angle between them?
Click here to see answer by Greenfinch(383)

Question 282828: My questions states find c if angle A is equal to 38 degrees, and b is equal to 10. I cannot figure this one out!
Click here to see answer by Alan3354(31538)

Question 283285: My question is about functions of standard angles.
The question is;
Find sin(-5pi/3)cos(2pi)tan(-13pi/3)cot(-29pi/6)
I am not sure how to work this out. I have tried breaking down the question to find that sin(-5pi/3) = (sqrt3)/2, cos(2pi) = 0, tan(-13pi/3)= sqrt3 but I can't find what cot(-29pi/6) is equal to.
In fact, I'm not even sure if the values I obtained for the other three were correct.
So could you please help me solve this problem.
Thanks,
Alex
Click here to see answer by Theo(3504)

Question 283608: verify identities

Click here to see answer by Edwin McCravy(8999)

Question 283851: Could someone please explain how to do this problem?
Evaluate 3cos(cos70degrees + cos20degrees)squared - 3cos50degrees without using a calculator. All work must be done by hand on your answer sheet.
My trig is rusty and I am having some difficulties.
Thanks!
Click here to see answer by Alan3354(31538)

Question 284037: sin^2 45degrees + cos^2 30degrees
Click here to see answer by user_dude2008(1861)

Question 284047: Find the exact value of the given trigonometric function. Do not use a calculator
cos 9pi/4
I need to determine the angle that equals 9pi/4 when added to 2pi
The answer is pi/4 but I can not figure out how that is.
Thank you
Click here to see answer by solver91311(17077)

Question 284073: sin 112.5 degrees
Click here to see answer by user_dude2008(1861)

Question 284200: sin^2 60degree - cos^2 30degree
Click here to see answer by Alan3354(31538)

Question 284204: Show that each of the following statements is true by transforming the left side of each one into the right side.
1. sec/tan = csc
2. cos sec tan = 1
3. (1-cos)(1+cos) = sin^2
4. sec - cos = sin^2/cos
5. 1-cos/sec = sin^2
Click here to see answer by nyc_function(2733)

Question 284201: 1/sec 30-degree
Click here to see answer by nyc_function(2733)

Question 284198: tan 45degrees + cot 45degrees
Click here to see answer by rfer(12731)

Question 284198: tan 45degrees + cot 45degrees
Click here to see answer by Alan3354(31538)

Question 284123: How do you do these problems...
1). Solve the identity
tanx(cscx-sinx) = cosx

Click here to see answer by nyc_function(2733)

Question 284287: I do not understand why Sin(90 + X) = CosX
I know how the 1st, 2nd ,3rd and 4th kwadrent work but i do not understand.
Cos(90+X)=-SinX
Tan(90+X0=-CotX
Sin(180+X)=-SinX
Cot(180+X)=CotX
Click here to see answer by vinaygar(1)

Question 284288: A light house is 10km north west of a ship travelling due west at 16kmh-1. how far is the ship from the lighthouse 45minutes later? what is the bearing of the lighthouse from the ship then?
Click here to see answer by Theo(3504)

Question 284056: if f(x)=x^2 and g(x)=2^x what is g^-1(f(3))?
Click here to see answer by Deina(147)

Question 285166: can you show me the steps on how to change the trig identity of tanxcosx=cotx(secx-cosx) ?
Click here to see answer by stanbon(57984)

Question 285166: can you show me the steps on how to change the trig identity of tanxcosx=cotx(secx-cosx) ?
Click here to see answer by eggsarecool(46)

Question 285156: Find an equivalent expression for cos 3x in terms of powers of cos x.
cos 3x = cos (2x + x)
= cos 2x cos x - sin 2x sin x <----Using cos(u + v) = cos u cos v - sin u sin v
= (cos^2x - sin^2x) cosx - (2 sinx cosx) sinx
= cos^3x -sin^2x cosx - 2sin^2x cosx
I'm stuck up to here....

Click here to see answer by eggsarecool(46)

Question 285203: a ship sails 64 kilometers on a bearing of 20 degrees. how far east of its orginal position is the ship?
Click here to see answer by Alan3354(31538)

Question 285336: At 3:00 PM a man 134 cm tall casts a shadow 137 cm long. At the same time, a tall building nearby casts a shadow 172 m long. How tall is the building?
Click here to see answer by stanbon(57984)

Question 285400: PLEASE HELP!!
1. If sin(theta)=1/2, then sin(-theta)=______, sin(pi - theta)=______, and sin(theta + pi)=________?
2. If cos(theta)=square root 3/2, then cos(-theta)=______, cos(pi - theta)=_____, and cos (theta + pi)=______ ?
Click here to see answer by stanbon(57984)

Question 285406: Please Help me solve this equation:
Click here to see answer by Alan3354(31538)

Question 285553: use pi/3 + pi/4=7pi/12 find the exact value of sin 7pi/12
Click here to see answer by Alan3354(31538)

Question 285552: simplify tan (pi/4 -x)

Click here to see answer by Alan3354(31538)

Question 285554: given sinu=12/13, sinv=3/5 and cosu>0, find sin (u-v)

Click here to see answer by Fombitz(13828)

Question 285686: How do I verify the identity of 2/(1+cosx)-tan^2(x/2) = 1?
Click here to see answer by stanbon(57984)

Question 285675: y=2sin(1/2x-(pi/3)) how do u sketch the graph?
Click here to see answer by richwmiller(9144)

Question 285481: cos^4[x]-sin^4[x]=cos^2[x]-sin^2[x]
please explain stepbystep
Click here to see answer by toidayma(44)

Question 285864: A ship sails 64 kilometers on a bearing of 20 degrees, how fast east of its original position is the ship?
Click here to see answer by stanbon(57984)

Question 285364: what is the domain and range of y=csc x in interval notation or inequalities?
Click here to see answer by stanbon(57984)

Question 285881: Find Theta in degrees, for given trig. function
sin(0)=0.6527
Could someone help me with this and if I was using a calculator, how would I solve this?
Thanks,
Nathalie
Click here to see answer by stanbon(57984)

Question 285890: I have problem with any questions put in word problems!
Measuring a stonefaced carved on the side of the mountain, 2 sightings 650 ft. from the base of the mountain are taken. If the angle of elevation to the bottom of the face is 38 degrees and the angle of the elevation to the top is 42 degrees, what is the height of the stone face?
I know I'm supposed to be using trig., but why do I have so much trouble putting this in an equation and how do I put in an equation I can solve?
Thanks
Click here to see answer by richwmiller(9144)

Question 285963: How do i find the first four positive solutions of 2cosx=Square root 3. Thanks
Click here to see answer by solver91311(17077)

Question 286074: Given that and simplify the equation to find
Click here to see answer by richwmiller(9144)

Question 286229: The width of a rectangle is one foot less than the length. The area is 6 feet sqaure. Find the length and width
Click here to see answer by richwmiller(9144)

Question 286247: how do you find all possible solutiions of 3tanx * cosx = -5cosx?
Click here to see answer by user_dude2008(1861)

Question 286326: graph two periods of the given consecant or seccant function
y=3secx
Click here to see answer by richwmiller(9144)

Question 286433: How many nanoseconds (1 nanosecond = 10^-9 s) does it take a computer signal to travel 60 cm at a rate of 2.4*10^10 cm/s ?
Thank you
Click here to see answer by jim_thompson5910(28717)

Question 286551: What is the reference of 5pi divided by 4? I cannot seem to figure it out.

Click here to see answer by jim_thompson5910(28717)

Question 287459: Identify the amplitude, if it exists, and the period of each function.
y=3 sin θ
Click here to see answer by Alan3354(31538)

Question 287526: Find a function f such that the graph of f has a horizontal tangent at (2, 0) and f ''(x) = 4x.
f(x) = ?
Click here to see answer by nabla(475)

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