What are the six 6 trigonometric ratios?

The six 6 trigonometric ratios are sine, cosine, tangent, cotangent, cosecant, and secant.
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What are the 6 trigonometry ratios?

Review all six trigonometric ratios: sine, cosine, tangent, cotangent, secant, & cosecant.
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Why are trigonometric ratios 6?

Answer : The 6 trigonometric ratios are formed by taking all the possible ratios of the any two sides of a perpendicular triangle out of three sides.
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Are there more than 6 trigonometric ratios?

The historical answer: At least 12

There are at least six more trigonometric functions that at one time were considered worth naming. These are versine, haversine, coversine, hacoversine, exsecant, and excosecant. All of these can be expressed simply in terms of more familiar trig functions.
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How do you remember 6 trig ratios?

The sine, cosine, and tangent ratios in a right triangle can be remembered by representing them as strings of letters, for instance SOH-CAH-TOA in English: Sine = Opposite ÷ Hypotenuse. Cosine = Adjacent ÷ Hypotenuse. Tangent = Opposite ÷ Adjacent.
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The Six Trigonometric Ratios - Trigonometry @Math Teacher Gon



What is the easiest way to memorize trigonometry tables?

To remember the trigonometric table, use the acronym "SOHCAHTOA," which stands for "Sine opposite hypotenuse, cosine adjacent hypotenuse, tangent opposite adjacent.
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How many trigonometric are there?

The six trigonometric functions are sine, cosine, secant, cosecant, tangent and cotangent. By using a right-angled triangle as a reference, the trigonometric functions and identities are derived: sin θ = Opposite Side/Hypotenuse.
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How many basic trigonometric ratios exist?

There are three basic trigonometric ratios: sine , cosine , and tangent .
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How many trigonometric identities are there?

All the trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side.
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What is SOH CAH TOA?

"SOHCAHTOA" is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1) (2) (3) Other mnemonics include.
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What are the types of trigonometry?

The two different types of trigonometry are:
  • Plane Trigonometry.
  • Spherical Trigonometry.
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What are the primary trigonometric ratios?

The three trig ratios in question are sine (sin), cosine (cos) and tangent (tan).
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What are the 8 fundamental identities?

Terms in this set (8)
  • Reciprocal: csc(θ) = csc(θ) = 1/sin(θ)
  • Reciprocal: sec(θ) = sec(θ) = 1/cos(θ)
  • Reciprocal: cot(θ) = cot(θ) = 1/tan(θ)
  • Ratio: tan(θ) = tan(θ) = sin(θ)/cos(θ)
  • Ratio: cot(θ) = cot(θ) = cos(θ)/sin(θ)
  • Pythagorean: sin costs = $1. ...
  • Pythagorean: I tan = get sic. ...
  • Pythagorean: I cut = crescent rolls.
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What are the 11 trig identities?

Terms in this set (11)
  • sinx. 1/cscx.
  • cosx. 1/secx.
  • tanx. 1/cotx.
  • cscx. 1/sinx.
  • secx. 1/cosx.
  • cotx. 1/tanx.
  • tanx. sinx/cosx.
  • cotx. cosx/sinx.
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What are the 9 trig functions?

The functions are usually abbreviated: sine (sin), cosine (cos), tangent (tan) cosecant (csc), secant (sec), and cotangent (cot). arccotangent (arccot). According to the standard notation for inverse functions (f-1), you will also often see these written as sin-1, cos-1, tan-1 arccsc-1, arcsec-1, and arccot-1.
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Who is father of trigonometry?

Hipparchus of Nicaea (190-120 B.C) a Greek astronomer, mathematician and geographer. He is considered to be “the father of trigonometry”.
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How do you remember Sohcahtoa rude?

Some Old Horse Caught Another Horse Taking Oats Away. Silly old Henry caught Albert Hugging two old Aunts. Some Old Hag Cracked All Her Teeth On Asparagus. Some Old Hairy Camels Are Hairier Than Others Are.
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How do you learn all trigonometric formulas?

7 Easy Steps to Learn Trigonometry
  1. Study all the basics of trigonometric angles.
  2. Study right-angle triangle concepts.
  3. Pythagoras theorem.
  4. Sine rule and Cosine rule.
  5. List all the important identities of trigonometry.
  6. Remember the trigonometry table.
  7. Be thorough with the trigonometric formulas.
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What should I learn before trigonometry?

You should already be familiar with algebra and geometry before learning trigonometry. From algebra, you should be comfortable with manipulating algebraic expressions and solving equations. From geometry, you should know about similar triangles, the Pythagorean theorem, and a few other things, but not a great deal.
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Why is trigonometry so hard?

With trigonometry, you have to remember what sine and cosine mean, for example. You have to remember what they represent and the various ways they impact angles and lengths. Trigonometry is difficult because it involves a lot of memorization of different functions which can then deviate into other functions.
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How do you master trigonometry?

The following are some tips which will serve you well. * Revise the domain, range and graphs of all of the trigonometric and inverse trigonometric functions. * Make sure you understand the difference between the trigonometric and inverse trigonometric functions. Finally, practise, practise and practise.
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