In the culture of life of the Dayak people, the written report of trigonometry has been reflected inwards the diverse icons of their lives. For example, the architecture has applied the equilibrium of the edifice on the custom identify they created. the traditional identify stands firmly equally a resultant of a precise human relationship betwixt the angles associated alongside the lengths of the sides.
Do the Architectures written report trigonometry equally well?
In this give-and-take nosotros volition empathize the concept of comparing of trigonometry inwards a correct triangle. In everyday life nosotros oft come across the sort of a correct triangle, for instance putting the seat of the broom equally inwards the motion-picture demo below:
Note the next description:
Mr. Pajar is a schoolhouse keeper. Pajar pack's transcend is 1.6 meters. He has a boy named dani. Dani is nevertheless degree II simple schoolhouse together with transcend 1.2 m. Dani is a expert man child together with likes to inquire questions. He ane time asked [his manlike mortal nurture most the transcend of each flag on the field. With a smile, his manlike mortal nurture answered 8 meters. One afternoon, equally he accompanied his manlike mortal nurture to clear the weeds inwards the field, Dani saw the shadow of every object on the ground. He took the rope meter together with measured the length of his father's shadow together with the long shadow of the flagpole, which is 3 one thousand together with xv m. But he tin non mensurate the length of his ain shadow because his shadow follows his movement. If you lot equally a Dani, tin you lot mensurate your ain shadow?
The concept of congruence on the triangle is inwards the story. Let's depict the triangle according to the storey above.
Where:
AB = The transcend of the flagpole (8 m)
BC = Length of pole shadow (15 m)
DE = High Pak Pajar (1.6 m)
EC = Shadow length Pak Pajar (3 m)
FG = Dani High (1.2 m)
GC = Dani's shadow length
Based on the triangle epitome inwards a higher identify in that place are iii triangles, namely:
Becouse segitigaABC, segitigaDEC, dan segitigaFGC is congruent, together with then apply:
By using Phytagoras Theorem nosotros larn value:
Based on congruence segitigaABC, segitigaDEC, dan segitigaFGC obtained the comparing equally follows:
This comparing is called the C sinus sinus, written sin xo or sin C = 18/7
This comparing is called the cosine C, written cos xo or cos C = 15/17
This comparing is called the angle C tangent, written tan xo or tan C = 8/15.
Definition:
- The sinus of a blade is defined equally the ratio of the length of the side inwards forepart of the angle to the sloping side, written sin C = (side inwards forepart of the corner) / (triangular side edge)
- The cosine of an angle is defined equally the ratio of the length of the side to the side alongside the side of the incline, written cos C = (side past times side of the angle) / (triangular side edge)
- The tangent of an angle is defined equally the ratio of the length of the forepart side of the angle to the side adjacent to the angle, written tan C = (the side inwards forepart of the corner) / (side on the side of the corner)
- Cosecan an angle is defined equally the length of the side tilted alongside the side inwards forepart of the corner, written cosec C = (triangular side) / (side beside the corner) or cosec C = 1 / cosec C
- Secan an angle is defined equally the ratio of the length of the side to the side alongside the angle, dituils s C = (triangular side edge) / (side on the corner) or s C = 1 / cos C
- Cotangen an angle is defined equally the side ratio beside the angle alongside the side inwards forepart of the corner, written cotan C = (side beside angle) / (side inwards forepart of corner) or cotan C = 1 / tan C
Sorry if in that place is a incorrect word.
The terminate of tidings wassalamualaikum wr. wb
Referensi :
- Book of math senior high schoolhouse degree 10 Semester 2