Jawab:= ½√(2-√2)
Penjelasan dengan langkah-langkah:
Aduhhh.sin(157½)° = cos(90-157½)°= cos(-67½)° = cos(67½)°= sin(90-67½)° = sin(22½)°= sin(⁴⁵/₂)
sin²(ᵃ/₂)° = ½(1-cos(a))sin²(⁴⁵/₂)° = ½(1-cos(45)°)sin²(⁴⁵/₂)° = ½(1-½√2)sin²(⁴⁵/₂)° = ½(²/₂-½√2)sin²(⁴⁵/₂)° = ½(½(2-√2))sin²(⁴⁵/₂)° = ¼(2-√2)sin(⁴⁵/₂)° = √(¼(2-√2))sin(⁴⁵/₂)° = √(¼)·√(2-√2))sin(⁴⁵/₂)° = ½√(2-√2)
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Jawab:
= ½√(2-√2)
Penjelasan dengan langkah-langkah:
Aduhhh.
sin(157½)° = cos(90-157½)°
= cos(-67½)° = cos(67½)°
= sin(90-67½)° = sin(22½)°
= sin(⁴⁵/₂)
sin²(ᵃ/₂)° = ½(1-cos(a))
sin²(⁴⁵/₂)° = ½(1-cos(45)°)
sin²(⁴⁵/₂)° = ½(1-½√2)
sin²(⁴⁵/₂)° = ½(²/₂-½√2)
sin²(⁴⁵/₂)° = ½(½(2-√2))
sin²(⁴⁵/₂)° = ¼(2-√2)
sin(⁴⁵/₂)° = √(¼(2-√2))
sin(⁴⁵/₂)° = √(¼)·√(2-√2))
sin(⁴⁵/₂)° = ½√(2-√2)
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