Perbandingan Trigonometri Sudut-sudut di Semua Kuadran
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Slide1Pe r b a n d i n g a n T r i g o n o m e t r i S u d u t - s u d u t d i s e m u a K u a d r a n S i n α = C o s α = T a n α = C o t α = C o s e c α = S e c α = P(x , y ) x r y P(x , y ) Kuadran I Y (+) x (+) r (+) + + = + + + = + = + + + + + + + + + = + = + = + Semua ( + ) 360 o 0 o 90 o 180 o 270 o
Slide2perbandingan trigonometri sudut-sudut di semua kuadranSin α = Cos α = Tan α = Cot α = Cosec α = Sec α = Kuadran II Semua ( + ) P(x , y ) r (+) y (+) x ( - ) + + = + _ + + + = + = ─ = ─ ─ + ─ + = ─ = ─ _ + Sin α = (+) Cosec α = (+) Kuadran I 360 o 0 o 90 o 180 o 270 o
Slide3perbandingan trigonometri sudut-sudut di semua kuadranSin α = Cos α = Tan α = Cot α = Cosec α = Sec α = Semua ( + ) = ─ ─ – _ + = + Kuadran III Cosec α = (+) Sin α = (+) Y ( – ) r (+) P(x , y ) x ( – ) ─ + = ─ _ + = ─ ─ + = ─ ─ – = + Tan α = (+) Cot α = (+) Kuadran II Kuadran I 360 o 0 o 90 o 180 o 270 o
Slide4perbandingan trigonometri sudut-sudut di semua kuadranSin α = Cos α = Tan α = Cot α = Cosec α = Sec α = Semua ( + ) Tan α = (+) Cot α = (+) Cosec α = (+) Sin α = (+) Kuadran IV P(x , y ) x (+) r (+) _ + Y ( – ) = ─ = + ─ + = ─ + + + + = + _ + = ─ ─ + = ─ Kuadran III Kuadran II Kuadran I Cos α = (+) Sec α = (+) 360 o 0 o 90 o 180 o 270 o
Slide5Ca r a m e n g i n g a t n y a : “ A l l S i n T a n C o s “ Artinya : D i k u a d r a n I S e m u a n y a b e r n i l a i p o s i t i f D i k u a d r a n I I S i n d a n C o s e c b e r n i l a i p o s i t i f D i k u a d r a n I I I T a n d a n C o t b e r n i l a i p o s i t i f D i k u a d r a n I V C o s d a n S e c b e r n i l a i p o s i t i f
Slide6Ru m u s P e r b a n d i n g a n T r i g o n o m e t r i u n t u k S u d u t - S u d u t B e r e l a s i x y a) (90 – ) o a) Sin (90 – ) o = b) Cos (90 – ) o = c) Tan (90 – ) o = d) Cosec (90 – ) o = e) Sec (90 – ) o = f) Cot (90 – ) o = r o P(x,y) Q(y,x) r (90 – ) o = Cos = Sin = Cot = Sec = Cosec = Tan
Slide7rumus perbandingan trigonometri untuk sudut- sudut Berelasix y b ) ( 9 0 + ) o r o Q( –y ,x) = Cos = – Sin = – Cot = Sec = – Cosec = – Tan P(x,y) r a) Sin (90 + ) o = b) Cos (90 + ) o = c) Tan (90 + ) o = d) Cosec (90 + ) o = e) Sec (90 + ) o = f) Cot (90 + ) o = (90 + ) o
Slide8rumus perbandingan trigonometri untuk sudut- sudut Berelasix y b) (180 – ) o r o Q( – x,y) = – Cos = Sin = – Cot = – Sec = Cosec = – Tan P(x,y) r a) Sin (180 – ) o = b) Cos (180 – ) o = c) Tan (180 – ) o = d) Cosec (180 – ) o = e) Sec (180 – ) o = f) Cot (180 – ) o = (180 – ) o
Slide9Ca r a M e n g i n g a t n y a : 1 . D i a n g g a p S u d u t l a n c i p 2 . B e n t u k S u d u t t e r s e b u t p a d a k u a d r a n b e r a p a ? 3 . N i l a i f u n g s i t e r s e b u t ( + ) a t a u ( – ) i n g a t A l l S i n T a n C o s 4 . J i k a b e n t u k n y a ( 9 0 ± ) o a t a u ( 2 7 0 ± ) o M a k a F u n g s i B e r u b a h Sin Cos Tan Cot Sec Cosec U n t u k b e n t u k y a n g l a i n (180 ± ) o ( – ) (nx360 ± ) o F U N G S I T E T A P
Slide101. D i a n g g a p S u d u t l a n c i p 2 . B e n t u k S u d u t t e r s e b u t p a d a k u a d r a n b e r a p a ? 3 . N i l a i f u n g s i t e r s e b u t ( + ) a t a u ( – ) i n g a t A l l S i n T a n C o s 4 . J i k a b e n t u k n y a ( 9 0 ± ) o a t a u ( 2 7 0 ± ) o M a k a F u n g s i B e r u b a h S i n C o s Tan Cot Sec Cosec U n t u k b e n t u k y a n g l a i n ( 1 8 0 ± ) o ( – ) ( n x 3 6 0 ± ) o F U N G S I T E T A P Contoh Cos(90 + ) o = Sin – Sin(180 + ) o = – Sin Tan(180 + ) o = + Tan Sin ( – ) = – Sin Cos ( – ) = + Cos Cos(360 + ) o = + Cos Cos(270 + ) o = Sin + All + Cosec + Sin + Cos+ Sec + Cot + Tan +
