Nilai sin 135° - cos 225° + tan 405°
Matematika
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Pertanyaan
Nilai sin 135° - cos 225° + tan 405°
1 Jawaban
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1. Jawaban dnnyz07
sin 135 - cos 225 + tan 405
sin 135 = sin (180 - 45) = sin 45
= (1/2)√2 (Kuadran II , sin +)
cos 225 = cos (180 + 45) = -cos 45
= (-1/2)√2 (Kuadran III , cos -)
tan 405 = tan (360 + 45) = tan 45
= 1
(1/2)√2 - ( -1/2 √2) + 1
= (1/2)√2 + (1/2)√2 + 1
= 2 × (1/2)√2 + 1
= 1 + √2