Sin^2x + cos^2x = 1

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sin 2 + cos 2 = 1 TRIGONOMETRI

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Trigonometri

Transcript of Sin^2x + cos^2x = 1

Page 1: Sin^2x + cos^2x = 1

sin2 + cos2 = 1TRIGONOMETRI

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APA YANG ADA DIPIKIRANMU KETIKA MENDENGAR KATA TRIGONOMETRI?

SEGITIGA

SUDUT

SIKU-SIKU

SINTAN

COS

RADIAN

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A

B C

bc

a

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A

B C

bc

a

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Contoh

Jika diketahui = 150. Apakah sin22 + cos22 = 1 ?

Jawab :

= 150

2 = 300

sin22 + cos22 = sin2 300 + cos2 300

= 1

Jadi, sin22 + cos22 = 1.

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KERJAKAN SOAL BERIKUT INI!

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1. Apakah rumus sin2 + cos2 = 1 berlaku untuk soal berikut ini?

a.

12

5

b. cos = 6/10

c. tan2 = 9/16

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2. Jika cot x = 15/8, carilah cos2x!

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3.

10 x

y

Tunjukkan bahwa sin2 + cos2 = 1!

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sin2 + cos2 = 1

cos2 = 1 – sin2

KESIMPULAN

sin2 = 1 – cos2