Matematika

Pertanyaan

Tentukan nilai berikut:

A. Sin 30° × Cos 45° + Sec 30° × Cot 60° adalah.....

B.Cos 45° × Tan 30° × (Sin 60°+ Sec 30°) adalah......

Tolong jawab ya ka,Pertanyaannya cuma ada dua doang ko ka makasih

1 Jawaban

  • sin 30 = 1/2
    cos 45 = √2/2
    sec 30 = 1/sin30 = 1÷(1/2) = 2
    cot 60 = sin60/cos60 = √3/2÷1/2= √3
    A. sin 30× cos 45 + sec30 × cot60
    = (1/2)×(√2/2) + (2)(√3)
    =(√2/4) + (2√3)

    cos 45 = √2/2
    tan30 = sin30/cos30 = (1/2)÷(√3/2) = √3
    sin60 = √3/2
    sec30 = 2
    B. cos45 × tan30 × (sin60+sec30)
    = (√2/2) × (√3) × (√3/2 + 2)
    = (√6/2) × (√3/2 + 2)
    = (√18/4 + 2√6/4)
    = (√18 + 2√6)/4
    = (3√2 + 2√6)/4

    semoga membantu

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