yosi - trigonometri

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TRIGONOMETRI

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Page 1: YOSI - TRIGONOMETRI

TRIGONOMETRI

Page 2: YOSI - TRIGONOMETRI

OLEH :

I GUSTI BAGUS YOSIA WXII IPA 1 / 17

SMA PANGUDI LUHURYOGYAKARTA

Page 3: YOSI - TRIGONOMETRI

RUMUS DASAR TRIGONOMETRI

yxyxyx sinsincoscos)(cos

yxyxyx sinsincoscos)(cos

yxyxyx sincoscossin)(sin

yxyxyx sincoscossin)(sin

yx

yxyx

tantan1

tantantan

yx

yxyx

tantan1

tantantan

Page 4: YOSI - TRIGONOMETRI

TURUNAN FUNGSI TRIGONOMETRI

Teorema 1: atau

Teorema 2:

Teorema 3a:

Teorema 3b:

Teorema 4: dan

xxdx

dcos)(sin xx cos)(sin '

xxdx

dsincos

xxxdx

dtansec)(sec

xxxdx

dcotcsc)(csc '

xxdx

d 2' sec)(tan xxdx

d 2csc)(cot

Page 5: YOSI - TRIGONOMETRI

PENURUNAN RUMUS JUMLAH DAN SELISIH SINUS DAN COSINUS

2

cos2

cos2coscosqpqp

qp

2

sin2

sin2coscosqpqp

qp

2

cos2

sin2sinsinqpqp

qp

2

sin2

cos2sinsinqpqp

qp

Page 6: YOSI - TRIGONOMETRI

HUBUNGAN TRIGONOMETRI

Page 7: YOSI - TRIGONOMETRI
Page 8: YOSI - TRIGONOMETRI

SUBSTITUSI FUNGSI TRIGONOMETRI

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RUMUS DASAR INTEGRAL TRIGONOMETRI

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