a) sine
Sine is opposite side of angle over hypotenuse. Cosine is adjacent side of angle over hypotenuse. Tangent is the opposite side over the adjacent side.
sine, cosine, tangent, cosecant, secant and cotangent.
The tangent and cotangent functions.
you use the the 3 trigonometry functions , sin=opposite divided by hypotenuse cos=adjacent divided by hypotenuse tan=opposite divided by adjacent these are used to work out angles and side lengths in right angle triangles only!!! sine,cosine,tangent :)
sine, cosine, tangent, cosecant, secant and cotangent.
tangent
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
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
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.
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.
in a right trianlge the tangent is the ratio of Opposite/Adjacentcosine is Adjacent/Hypotenusesine is Opposite/Hypotenuse
Sohcahtoa is an abbreviation (SOH) sine opposite hypotenuse (CAH) cosine adjacent hypotenuse (TOA) tangent opposite adjacent.
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
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! :)
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
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 =================
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)