O S H A C H O T A S O H C A H T O A Opposite Sinθ = Hypotenws Agos

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1 O S H A C H O T A S O H C A H T O A Opposite Sinθ = Hypotenws Agos
Trigonometreg 3 Cofiwch y gymharebau: O Opposite Sinθ = S Hypotenws H A Cosθ = Agos Hypotenws C H O Tanθ = Opposite Agos T A S O H C A H T O A

2 O H A C T S Opposite Sinθ = Hypotenws 8cm 6cm θ Trigonometreg 3
Cam 1: Labelu’r triongl Cam 2: Dewis y gymhareb trig cywir Cam 3: Datrys yr hafaliad Sinθ = Opposite Hypotenws Enghraifft 1: Darganfyddwch hyd x Hyp Opp 8cm 6cm θ Agos O H A C T S

3 θ = 49° (i’r rhif cyfan agosaf)
Trigonometreg 3 Cam 1: Labelu’r triongl Cam 2: Dewis y gymhareb trig cywir Cam 3: Datrys yr hafaliad Sinθ = Opposite Hypotenws Enghraifft 1: Darganfyddwch hyd x Hyp Sinθ = 6 8 Opp 8cm 6cm θ Sin ( ) -1 6 8 Agos θ = θ = … θ = 49° (i’r rhif cyfan agosaf)

4 O H A C T S Opposite Tanθ = Agos 8cm θ 4cm Trigonometreg 3
Cam 1: Labelu’r triongl Cam 2: Dewis y gymhareb trig cywir Cam 3: Datrys yr hafaliad Enghraifft 2: Darganfyddwch hyd x Tanθ = Opposite Agos Hyp Opp 8cm θ 4cm Agos O H A C T S

5 θ = 63° (i’r rhif cyfan agosaf)
Trigonometreg 3 Cam 1: Labelu’r triongl Cam 2: Dewis y gymhareb trig cywir Cam 3: Datrys yr hafaliad Enghraifft 2: Darganfyddwch hyd x Tanθ = Opposite Agos Tanθ = 8 4 Hyp Opp 8cm θ = Tan ( ) -1 8 4 θ 4cm Agos θ = … θ = 63° (i’r rhif cyfan agosaf)

6 O H A C T S Agos Cosθ = Hypotenws θ 13cm 8cm Trigonometreg 3
Cam 1: Labelu’r triongl Cam 2: Dewis y gymhareb trig cywir Cam 3: Datrys yr hafaliad Cosθ = Agos Hypotenws Enghraifft 3: Darganfyddwch hyd x θ Hyp Agos 13cm 8cm Opp O H A C T S

7 θ = 52° (i’r rhif cyfan agosaf)
Trigonometreg 3 Cam 1: Labelu’r triongl Cam 2: Dewis y gymhareb trig cywir Cam 3: Datrys yr hafaliad Cosθ = Agos Hypotenws Enghraifft 3: Darganfyddwch hyd x θ Cosθ = 8 13 Hyp Agos 13cm 8cm θ = Cos ( ) -1 8 13 Opp θ = … θ = 52° (i’r rhif cyfan agosaf)

8 O H A C T S Agos Cosθ = Hypotenws 12 Cosθ = 15 θ 15cm Cos ( ) θ = 12cm
Cam 1: Labelu’r triongl Cam 2: Dewis y gymhareb trig cywir Cam 3: Datrys yr hafaliad Cwestiwn 1: Darganfyddwch maint ongl θ Cosθ = Agos Hypotenws Cosθ = 12 15 θ Hyp 15cm Agos θ = Cos ( ) -1 12 15 12cm Opp θ = … θ = 37° (i’r rhif cyfan agosaf) O H A C T S

9 O H A C T S Opposite Sinθ = Hypotenws 15 Sinθ = 20 15cm Sin ( ) θ = θ
Cam 1: Labelu’r triongl Cam 2: Dewis y gymhareb trig cywir Cam 3: Datrys yr hafaliad Cwestiwn 2: Darganfyddwch maint ongl θ Sinθ = Opposite Hypotenws Sinθ = 15 20 Agos Opp 15cm Sin ( ) -1 15 20 θ = θ 20cm Hyp θ = … θ = 49° (i’r rhif cyfan agosaf) O H A C T S

10 O H A C T S Opposite Tanθ = Agos 6.5 Tanθ = 6.5cm 8.2 θ Tan ( ) θ =
Cam 1: Labelu’r triongl Cam 2: Dewis y gymhareb trig cywir Cam 3: Datrys yr hafaliad Cwestiwn 3: Darganfyddwch maint ongl θ Tanθ = Opposite Agos Hyp Tanθ = 6.5 8.2 Opp 6.5cm Tan ( ) -1 6.5 8.2 θ = θ 8.2cm Agos θ = … θ = 38° (i’r rhif cyfan agosaf) O H A C T S

11 Darganfyddwch hyd x 5.1cm 3.) 1.) 2.) θ θ 10cm 10cm 10cm 20cm θ 4cm
Agos Opp 5.1cm 3.) 1.) 2.) θ Opp θ 10cm Hyp 10cm 10cm Hyp Agos Agos 20cm Hyp θ 4cm Opp θ = 59° (I’r rhif cyfan agosaf) θ = 60° θ = 24° (I’r rhif cyfan agosaf) Opp Opp Hyp 8.3cm 9.5cm 4.) 5.) θ 6.) 2.5cm 10cm Agos Opp Agos 10cm Hyp 10cm θ Hyp Agos θ θ = 14° (I’r rhif cyfan agosaf) θ = … θ = 44° (I’r rhif cyfan agosaf) θ = 40° (I’r rhif cyfan agosaf)

12 © BFB 2013