a. Sin 105°+ cos 105°
Matematika
setifolia
Pertanyaan
a. Sin 105°+ cos 105°
1 Jawaban
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1. Jawaban 01Rafli
Jawaban : cos 105° + sin 105° = Cos 45°
cos(105°) = sin(90°-105°) = sin(-15°) = -sin(15°)
sin(105°) + cos(105°) =
sin(105°) - sin(15°) =
sin(60°+45°) - sin(60°-45°) =
sin(60°) cos(45°) + cos(60°) sin(45°) - sin(60°) cos(45°) + cos(60°) sin(45°) =
2 cos(60°) sin(45°) =
2 (1/2) sin(45°) =
sin 45° =
cos 45°.
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