Matematika

Pertanyaan

Sin270 cos135 - tan135 / sin150 cos 225
Mohon dibantu:)))

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  • Bab Trigonometri
    Matematika SMA Kelas X

    (sin 270° . cos 135° - tan 135°) / (sin 150° .cos 225°) 
    = ((-1) . (-1/2 √2) - (-1)) / (1/2 . (-1/2 √2))
    = (1/2 √2 + 1) / (- 1/4 √2)
    = - ((√2 + 2)/2) : ((√2)/4)
    = - ((√2 + 2)/2) x (4/√2)
    = - 4(√2 + 2) / (2√2)
    = - 2((√2 + 2)/(√2)) . ((√2)/√2))
    = - 2(√2² + 2√2) / (. √2²)
    = 2(-2 - 2√2) / 2
    = - 2 - 2√2

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