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Analisis Perbandingan Trigonometri (Segitiga Siku-Siku)

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Analisis Perbandingan Trigonometri (Segitiga Siku-Siku)

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Uji pemahaman trigonometri

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Anisa
Anisa
Indonesia

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Analisis Perbandingan Trigonometri (Segitiga Siku-Siku)
 

Analisis Perbandingan Trigonometri (Segitiga Siku-Siku)Online version

Uji pemahaman trigonometri

by Anisa
1

Segitiga siku-siku memiliki cos C = 0,8 dan sisi miring 10 cm. Panjangkan sisi yang bersebelahan dengan C?

2

Tentukan tan A jika sisi hadap A = 6 cm dan sisi miringnya = 10 cm.

3

Segitiga siku-siku dengan sisi depan 3 cm dan sisi miring 5 cm, sudut mana yang dimaksud jika tan = 3/4?

4

Jika segitiga siku-siku memiliki sisi depan 9 cm dan hipotenusa 15 cm, sudut mana yang memiliki sin terbesar?

5

Manakah pernyataan yang benar tentang trig pada segitiga siku-siku?

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adjacent = cos(C)×hypotenusa = 0,8×10 = 8; namun yang bersebelahan dengan sudut C adalah sisi 'berlawanan' jika konteks; pernyataan ini menguji definisi. (Jawaban direvisi: adjacent = 6 adalah contoh alternatif; tetap konsisten dengan data: cos C = adjacent/hypotenusa → adjacent = 0,8×10 = 8.)

tan A = opposite/adjacent. Jika hipotenusa 10, butuh data sisi adjacent; jika yang dimaksud adalah sisi miring sebagai hipotenusa, kita butuh hadap/bersebelahan; contoh ini asumsikan hadap 6 dan adj = 8 (3-4-5×2). Maka tan A = 6/8 = 0,75.

tan = opposite/adjacent; jika tan = 3/4, maka sisi hadap = 3, sisi bersebelahan = 4.

Sin terbesar terkait oposisi sisi terpanjang; 9 cm lebih besar dari sisi lain (asumsikan 12 cm tidak ada).

Definisi trig umum: sin = opposite/hypotenusa, cos = adjacent/hypotenusa, tan = opposite/adjacent.

 
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