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a) sine

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Q: The trigonometric ratio that compares the opposite side going to the hypotenuse is a SINE b TANGENT c Cosine?
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The trigonometric ratio that compares the opposite side length to the adjacent side length is what?

tangent


What is trigonometric ratio?

A TRIGONOMIC ratio is a ratio between either the opposite side of an angle and the hypotenuse of a triangle (sine), the adjacent side of an angle and the hypotenuse of a triangle (cosine), or the opposite side of an angle and the adjacent side (tangent). Mnemonic: SOH CAH TOA S= sine C= cosine T= tangent O= opposite A= adjacent H= hypotenuse


What are the basic trigonometric ratios?

Sine(Sin) Cosine(Cos) Tangent(Tan) ---- -Sin of angle A=opposite leg of angle A / hypotenuse -Cos of angle A= Adjacent leg of angle A / Hypotenuse -Tan of angle A= opposite leg of angle A / Adjacent lef of angle A


How do you find 2 missing sides of a right triangle?

Two methods to try . #1 Use pythagoras h^ = a^2 + a^2 NB THis is only good if you know that the two unknown sides are the same length. #2 Use trigonometry (trig.) This is good if you know the hypotenuse and one of the angles. Sine(angle) = opposite/ hypotenuse Hence opposite side = hypotenuse X sine(angle) Similarly Cosine(angle) = adjacent / hypotenuse. adjacent side = hypotenuse X Cosine(angle) Here is an example If you known the hypotenuse is a length of '6' and the angle is 30 degrees. Then opposite = 6 X Sin(30) opposite = 6 x 0.5 = 3 So the length of the oppisute sides is '3' units. NB DO NOT make the mistakes of saying Sin(6 X 30) = Sin(180) Nor 6 x 30 , nor Sin(6) X 30 , nor any other combination. You MUST find the SINE of the angle , then multiply it to the given length. Similarly for Cosine and Tangent.


What are some good examples of math acronyms?

If you study trigonometry you learn the definitions of the trigonometric functions by means of the acronym SOH CAH TOA which stands for sine: opposite over hypotenuse; cosine: adjacent over hypotenuse; tangent: opposite over adjacent. This is a very useful acronym.


The tangent of an angle equals the ratio of the what?

in a right trianlge the tangent is the ratio of Opposite/Adjacentcosine is Adjacent/Hypotenusesine is Opposite/Hypotenuse


What is sahcahtoa?

Sohcahtoa is an abbreviation (SOH) sine opposite hypotenuse (CAH) cosine adjacent hypotenuse (TOA) tangent opposite adjacent.


What is the equation for finding the sine and cosine and tangent of a triangle?

For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent


What is the formula for sine function?

In a right triangle, its Opposite/Hypotenuse I always use: Soh (sin, opposite/hypotenuse) Cah (cosine, adjacent/hypotenuse) Toa (tangent, opposite/adjacent) Hope this helped! :)


Values of the 6 trigonometric functions?

Sine Theta (sin θ) = opposite/hypotenuse = a/c Cosine Theta (cos θ) = adjacent/hypotenuse = b/c Tangent Theta (tan θ) = opposite/adjacent = a/b Cotangent Theta (cot θ) = adjacent/opposite = b/a Secant Theta (sec θ) = hypotenuse/adjacent = c/b Cosecant Theta (csc θ) = hypotenuse/opposite = c/a You may need to look on the link below for some sample calculations


What is one of the trigonmetric functions?

The three basic trigonometric ratios are sine (sin), cosine (cos) and tangent (tan) They are found by comparing two of the three sides of a right triangle. The hypotenuse is the the longest side of the right triangle, and is opposite the right angle. The other two sides are the legs. One leg is adjacent to an angle, and the other is opposite the angle. The three ratios are sin(x) = opposite/hypotenuse cos(x) = adjacent/hypotenuse tan(x) = opposite/adjacent =================


What is the derivative of cosx divided by sinx?

When dealing with a right angled triangle trigonometric functions can be defined by :- cos x = adjacent/hypotenuse sin x = opposite/hypotenuse Therefore cos x/sin x = adj/hyp ÷ opp/hyp = adj/hyp x hyp/opp = adj/opp The tangent of an angle is given by the formula : opposite/adjacent The tangent of the complementary angle is therefore : adjacent/opposite Then cos x/sin x = tan(90-x)