Trigonometreg Rhan 1 Trigonometry Part 1 mathemateg adolygumathemateg

Trigonometreg Rhan 1 Trigonometry Part 1 @mathemateg /adolygumathemateg

Trigonometreg Trigonometry Trigonometreg yw’r rhan o fathemateg sy’n astudio’r perthnasau rhwng ochrau ag onglau mewn triongl. Mae’r gair yn deillio o’r Groegaidd am “triongl” a “mesur”. Trigonometry is the branch of mathematics that studies the relationships between lengths and angles in a triangle. The word derives from the Greek for “triangle” and “measure”.

Trigonometreg Triongl Ongl Sgwâr Trigonometry of a Right-Angled Triangle • Hypotenws Hypotenuse “SOHCAHTOA” Agos Adjacent Cyferbyn Opposite

Y Cylch Unedol The Unit Circle Ystyriwch y cylch unedol a ddangosir yn y ffeil Geo. Gebra yma: Consider the unit circle shown in this Geo. Gebra file: https: //ggbm. at/f. Gsz 9 sf. N Gan fod yr hypotenws o hyd yn un uned / Because the hypotenuse is always one unit • Uchder y triongl yw sine yr ongl. / The height of the triangle is the sine of the angle. • Sail y triongl yw cosine yr ongl. / The base of the triangle is the cosine of the angle.

Y Cylch Unedol The Unit Circle •

1. 1 1 0. 9 0. 8 0. 7 0. 6 0. 5 0. 4 0. 3 0. 2 0. 1 0 -360 -330 -300 -270 -240 -210 -180 -150 -120 -90 -60 -30 -0. 1 0 -0. 2 -0. 3 -0. 4 -0. 5 -0. 6 -0. 7 -0. 8 -0. 9 -1 -1. 1 Ailadrodd bob 360° Repeats every 360° 30 60 90 120 150 180 210 240 270 300 330 360

1. 1 1 0. 9 0. 8 0. 7 0. 6 0. 5 0. 4 0. 3 Ailadrodd bob 360° 0. 2 0. 1 Repeats every 360° 0 -360 -330 -300 -270 -240 -210 -180 -150 -120 -90 -60 -30 -0. 1 0 30 60 90 120 150 180 210 240 270 300 330 360 -0. 2 -0. 3 -0. 4 -0. 5 -0. 6 -0. 7 -0. 8 -0. 9 -1 -1. 1

3. 5 3 Asymptote 2. 5 2 1. 5 1 Ailadrodd bob 180° 0. 5 every 180° Repeats 0 -360 -330 -300 -270 -240 -210 -180 -150 -120 -90 -60 -30 0 -0. 5 -1 -1. 5 -2 -2. 5 -3 -3. 5 30 60 90 120 150 180 210 240 270 300 330 360

Datrys Hafaliadau Trigonometrig Solving Trigonometric Equations Mae’r cyfrifiannell o hyd yn rhoi’r ongl efo’r modwlws lleiaf. The calculator will always give the angle with the smallest modulus. • S A T C

Datrys Hafaliadau Trigonometrig Solving Trigonometric Equations • S A T C

Datrys Hafaliadau Trigonometrig Solving Trigonometric Equations • S A T C