Since the sine, cosine, and tangent are all functions of the angle c, we can determine (measure) the ratios once and produce tables of the values of the sine, cosine, and tangent for various values of c. Later, if we know the value of an angle in a right triangle, the tables will tell us the ratio of the sides of the triangle. If we know the length of any one side, we can solve for the length of the other sides. Or if we know the ratio of any two sides of a right triangle, we can find the value of the angle between the sides. We can use the tables to solve problems. Some examples of problems involving triangles and angles include the forces on an aircraft in flight, the application of torques, and the resolution of the components of a vector
opposite/hypotenuse
Sine of an angle (in a right triangle) is the side opposite of the angle divided by the hypotenuse.
Perhaps you are referring to the trigonometric function sin which is defined as the opposite divided by the hypotenuse. if you then the opposite is refereeing to the side that is opposite the angle, or the side that is furthest away from the angle.
The six main trigonometric functions are sin(x)=opposite/hypotenuse cos(x)=adjacent/hypotenuse tan(x)=opposite/adjacent csc(x)=hypotenuse/opposite cot(x)=adjacent/opposite sec(x)=hypotenuse/adjacent Where hypotenuse, opposite, and adjacent correspond to the three sides of a right triangle and x corresponds to an angle in that right triangle.
First of all, a sine is the trigonometric function that is equal to the ratio of the opposite a given angle to the hypotenuse.The teacher told us to use the word sine in a sentence.He told us what a sine is and how you use it.A sine is the trigonometric function that is equal to the ratio of the opposite a given angle to the hypotenuse.
a) sine
They may be defined as the ratios of the lengths of sides of a right angled triangle, relative to either of the other angles.sine = opposite/hypotenusecosine = adjacent/hypotenusetangent = opposite/adjacentcosecant = hypotenuse/oppositesecant = hypotenuse/adjacentcotangent = adjacent/opposite.
Sin(A) = Opposite/Hypotenuse Its reciprotcal is 1/Sin(A) = Cosecant(A) = Csc(A) = Hypotenuse / Opposite. Similarly Cos(A) = Adjacent/Hypotenuse Its reciprotcal is 1/Cos(A) = Secant(A) = Sec(A) = Hypotenuse / Adjacent Tan(A) = Opposite/Adjacent Its reciprotcal is 1/Tan(A) = Cotangent(A) = Cot(A) = Adjacent / Opposite.
It is an 'Aide memoire' to help with using the correct sides , with the correct function. . socatoa, becomes SOHCAHTOA ; SOH , CAH, TOA. SOH is Sin(angle) = Opposite/Hypotenuse. CAH is Cosine(Cos(angle)) = Adjacent/ Hypotenuse TOA is Tangent(Tan(Angle)) = Opposite / 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! :)
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
Yes, sine is a trig function, it is opposite over hypotenuse.