i need some good examples stating the use of trigonometric ratios in daily life?
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Dont u remem that we had studied it in II PUC/12th std. in Mathematics in which we used to solve some probs in trigonometry...\n\nAmong the scientific fields that make use of trigonometry are these:\n\nacoustics, architecture, astronomy (and hence navigation, on the oceans, in aircraft, and in space; in this connection, see great circle distance), biology, cartography, chemistry, civil engineering, computer graphics, geophysics, crystallography, economics (in particular in analysis of financial markets), electrical engineering, electronics, land surveying and geodesy, many physical sciences, mechanical engineering, medical imaging (CAT scans and ultrasound), meteorology, music theory, number theory (and hence cryptography), oceanography, optics, pharmacology, phonetics, probability theory, psychology, seismology, statistics, and visual perception. \n\nReal world applications of trigonometry usually involve Engineering applications, finding heights of buildings, surveying or maybe stock market or business cycles.\n\nPlease check the following links.. U ll understand the examples better and can visualise since figs r also given... Also, it ll be useful in applications which involve parameters like altitude and  angle of inclination to the ground etc.\n\n\nFor real life applications (not the fields of applications), here are some examples:\n\n(1) Two ships leave a port at the same time. One sails south at 15 km/h and the other sails east at 20 km/h. Express the distance d between the ships as a function of t, the time (in hours) after their departure. \n\n2) A rectangle of 12 cm2 area is inscribed in the right triangle with legs of length 6 cm and 8 cm. What are the dimensions of the rectangle? \n\n(3) A power line is to be constructed from a power station at point A to an island at point C, which is directly 1 km out in the water from a point B on the shore. Point B is 4 km downshore from the power station at A, It costs $5000 per km to lay the power line under water and $3000 per km to lay the line under ground. The line comes to shore at point S downshore from A. (Note that S could very well be A or B.) Let x = the distance from B to S. Express the cost of laying the line as a function of x
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To understand you should read over this section on Trigonometry  identities on the site www.wikipedia.org and form here you will be able to reagrane the equation since somethings equal others
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Check out this site. It gives you a few examples. It was helpful for my cousin when she was leaning how to do them.\nhttp://www.purplemath.com/modules/solvelin.htm
191873
First of all, the best way to learn trigonometry is to learn it from the beginning, which means take your first textbook which has trigonometry and study from the beginning.\nhttp://mathworld.wolfram.com/Trigonometry.html\nhttp://www.du.edu/~jcalvert/math/trig.htm#Trig\nhttp://www.syvum.com/math/trigonometry.html
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Try subjects that include Applied Trigonometry. My experience was in tool and die repair. Search metalworking topics, and other subject matter that actually USES trigonometry. This way it will be MUCH easier to relate to how and why trigonometry is useful.
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Trigonometric functions also work for a variety of harmonic functions--the speed of a swinging pendulum, the displacement of a bobbing spring, the currect in an inductor in a LCR circuit, etc.  Sin(e) and cos(ine) describe waveforms that are called sinusoidal functions.  Tan(gent) involves the sin/cosine ratio.
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Here are some real tough ones.(Looked tough to me)\n\nProve that cot(90 - theta)sin(90 - theta) = sin theta\n\nFind Cos(3x)\n\nFind Sin(3x)
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This ratio is called the cosine.
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Personally I would take Trig when I had time to devote to it. I took College Algebra, Chemistry, and Trig all at once and I have to tell you, trig never made any sense to me.
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davidosterberg1 is correct\n\nbelow is a link to the explanation\n\nhttp://id.mind.net/~zona/mmts/trigonometryRealms/radianDemo1/RadianDemo1.html
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well, for me too is the "golden ratio": you can express it as (1+sqrt(5))/2, even if this is not, poetically speaking, it's best definition
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Sorry, I can't see the photo...but:\n\nSOH - sin = opp/hyp\nCAH - cos = adj/hyp\nTOA - tan = opp/adj
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Are you kidding me? Sin(x) is awesome! I totally love sinx-ing  those sexy numbers :)\n\nI sinxed pi the other day, and it totally melted away.
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sin(θ) ≈ θ\nSo cos (θ) ≈ 1  because cos (0) = 1\nMore accurately cos (θ) ≈ 1 - θ²/2
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Try Google or Yahoo.  You'll find worked examples there.  I think it needs diagrams to understand; they and the accompanying explanations are too complex to attempt to reproduce here.
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we can  Use the trig identity\nsin(a+b)=sin(a)cos(b) + sin(b)cos(a) \nand we have\n\n10[sin(w.t)cos(π/4) + sin(π/4)cos(w.t)] \nwhich can be simplified as\n 10[√(2)/2sin(w.t) + √(2)/2cos(w.t)]\n= 5(√2)[sin(w.t) + cos(w.t)] \n\n a=5√2\n b=5√2
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learn your identities well and as far as possible reduce all ratios to basic ratios of sine and cosine