sederhanakan bentuk operasi berikut : (sinx + cosx ) kuadrat + (sinx - cosx) kuadrat
Matematika
anggiisna25
Pertanyaan
sederhanakan bentuk operasi berikut : (sinx + cosx ) kuadrat + (sinx - cosx) kuadrat
2 Jawaban
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1. Jawaban kesiafanip
(y/r + x/r)^2 + (y/r - x/r)^2
r/r^2 + -r/r^2
0 -
2. Jawaban Robinn
(sinx + cosx)² + (sinx - cosx)²
= (sinx + cosx)(sinx + cosx) + (sinx - cosx)(sinx - cosx)
= sin²x + 2sinxcosx + cos²x + sin²x - 2sinxcosx + cos²x
= sin²x + sin²x + cos²x + cos²x
= 2sin²x + 2cos²x
= 2 (sin²x + cos²x)
= 2 (1)
= 2