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Identitas dan Rumus Trigonometri

Identitas dan Rumus Trigonometri

Assessment

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

Created by

Dzrits 03

Used 1+ times

FREE Resource

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10 questions

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1.

FLASHCARD QUESTION

Front

Sebutkan tiga bentuk identitas Pythagoras yang paling fundamental!

Back

sin²θ + cos²θ = 1

1 + tan²θ = sec²θ

1 + cot²θ = csc²θ

2.

FLASHCARD QUESTION

Front

Buktikan (sin⁡x+cos⁡x)2=1+2sin⁡xcos⁡x\left(\sin x+\cos x\right)^2=1+2\sin x\cos x

Back

Ruas kiri : (sin⁡x+cos⁡x)2\left(\sin x+\cos x\right)^2

(sin⁡x+cos⁡x)2=sin⁡2x+2sin⁡xcos⁡x+cos⁡2x\left(\sin x+\cos x\right)^2=\sin^2x+2\sin x\cos x+\cos^2x

=sin⁡2x+cos⁡2x+2sin⁡xcos⁡x=\sin^2x+\cos^2x+2\sin x\cos x

=1+2sin⁡xcos⁡x=1+2\sin x\cos x

ruas kiri = ruas kanan

terbukti

3.

FLASHCARD QUESTION

Front

Sederhanakan bentuk berikut: sin A · cot A.

Back

sin A · cot A = cos A

4.

FLASHCARD QUESTION

Front

Tuliskan hubungan antara fungsi kosekan dan sinus.

Back

csc θ = 1/sin θ

5.

FLASHCARD QUESTION

Front

Apakah benar bahwa sin θ / (1 - cos θ) = (1 - cos θ) / sin θ.

Back

Benar

sin θ / (1 - cos θ) = (1 - cos θ) / sin θ.

6.

FLASHCARD QUESTION

Front

Nyatakan cot⁡θ\cot\theta dalam bentuk sin⁡θ\sin\theta dan cos⁡θ\cos\theta

Back

cot⁡θ=cos⁡θsin⁡θ\cot\theta=\frac{\cos\theta}{\sin\theta}

7.

FLASHCARD QUESTION

Front

Diketahui sin θ = 3/5. Nilai cos θ di kuadran II adalah negatif, sehingga cos θ = -4/5. Berapakah nilai sec θ?

Back

Nilai sec θ adalah 1/cos θ = -5/4.

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