Jawab:
Penjelasan dengan langkah-langkah:
Sec 30° + Sin 45° Csc 45° + Cos 30° Cot 60° = ....
V = akar kuadrat
Sec 30° = 1/cos 30° = 1/(½V3) = 2/V3
Sin 45° = ½V2
Csc 45° = 1/sin 45° = 1/(½V2) = 2/V2 = V2
Cos 30° = ½V3
Cot 60° = 1/tan 60° = 1/V3
Sec 30° + Sin 45° Csc 45° + Cos 30° Cot 60° = (2/V3) + (½V2)(V2) + (½V3)(1/V3)
= (2/V3) + 1 + (3/2)
= (2/V3) + 2½
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Jawab:
Penjelasan dengan langkah-langkah:
Sec 30° + Sin 45° Csc 45° + Cos 30° Cot 60° = ....
V = akar kuadrat
Sec 30° = 1/cos 30° = 1/(½V3) = 2/V3
Sin 45° = ½V2
Csc 45° = 1/sin 45° = 1/(½V2) = 2/V2 = V2
Cos 30° = ½V3
Cot 60° = 1/tan 60° = 1/V3
Sec 30° + Sin 45° Csc 45° + Cos 30° Cot 60° = (2/V3) + (½V2)(V2) + (½V3)(1/V3)
= (2/V3) + 1 + (3/2)
= (2/V3) + 2½