(sin x+ cos x) (sin x- cos x) =...... a. 2 sin kuadrat x-1 b. 2 cos kuadrat x-1 c. 1-2 sin kuadrat x d. 1-2 cos kuadrat x e. 1+ cos kuadrat x
Matematika
RadityaMelisari1
Pertanyaan
(sin x+ cos x) (sin x- cos x) =......
a. 2 sin kuadrat x-1
b. 2 cos kuadrat x-1
c. 1-2 sin kuadrat x
d. 1-2 cos kuadrat x
e. 1+ cos kuadrat x
a. 2 sin kuadrat x-1
b. 2 cos kuadrat x-1
c. 1-2 sin kuadrat x
d. 1-2 cos kuadrat x
e. 1+ cos kuadrat x
1 Jawaban
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1. Jawaban Anonyme
(sin x + cos x) (sin x - cos x)
= sin²x - sinx.cosx + sinx.cosx - cos²x
= sin²x - cos²x
Ingat :
sin²x + cos²x = 1
sin²x = 1 - cos²x
= sin²x - cos²x
= 1 - cos²x - cos²x
= 1 - 2cos²x