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Penjelasan dengan langkah-langkah:
AC = √(p² + p²) = √(2 x p²) = p√2
p 1 1
sin A = ------- = ----- = ------- √2 = ½√2
p√2 √2 √4
sin A = sin 45°
p 1 1
cos A = ------- = ----- = ------- √2 = ½√2
p√2 √2 √4
cos A = cos 45°
BC p
Tan A = ---- = ----- = 1
AB p
Tan A = Tan 45°
Jawaban:
Jawaban yang tulisan tebal
Penjelasan dengan langkah-langkah:
sehingga didapat AC = √(p² + p²) = √(2p²) = p√2
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Sin A = Sin 45° = BC/AC = p/(p√2) = 1/√2 = 1/2 √2
Cos A = Cos 45° = AB/AC = p/(p√2) = 1/√2 = 1/2√2
Tan A = Tan 45° = BC/AB = p/p = 1
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Maka <C = 30°
Dibuat <ABD = 60°, maka <ADB = 60° dan <CBD = 30°
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hingga AB = AD = BD = p
Karena <C = <CBD, maka segitiga BCD sama kaki, sehingga BD = CD = p
Akibatnya AC = AD + CD = p + p = 2p dan BC = √(AC² - AB²) = p√3
Sin A = sin 60° = BC/AC = (p√3)/2p = √3/p
Cos A = cos 30° = AB/AC = p/2p = 1/p
Tan A = tan 60° = BC/AB = (p√3)/p = √3
Sin C = sin 30° = AB/AC = p/2p = 1/p
Cos C = cos 60° = BC/AC = (p√3)/2p = √3/p
Tan C = tan 30° = AB/BC = p/(p√3) = 1/3 √3
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