cos 465° - cos 15° adalaaah???
Matematika
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Pertanyaan
cos 465° - cos 15° adalaaah???
2 Jawaban
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1. Jawaban dhikboss
cos 465° - cos 15° = -2 sin [tex] \frac{1}{2} [/tex](465°+15°) sin [tex] \frac{1}{2} [/tex] (465°-15°)
= -2 sin 240 sin 225
= -2 [tex] (-\frac{1}{2} \sqrt{3} )[/tex][tex](- \frac{1}{2} \sqrt{2}) [/tex]
= [tex]- \frac{ \sqrt{6} }{2} [/tex] -
2. Jawaban NN25
Cos (360 +105)° - cos (45-30)°
=Cos (105°) - (cos 45°. Cos 30° +sin 45°.sin 30°
=Cos (60+45)° - 1( 1/2 akar 2. 1/2 akar 3 + 1/2 akat 2. 1/2)
=Cos 60. Cos 45 - sin 60. Sin 45 - 1/4 (akar 6 +akar 2)
=1/2. 1/2 akar 2 - 1/2 akar 3. 1/2 akar 2 - 1/4 (akar 6 +akar 2)
= 1/4 (akar 2 - akar 6) - 1/4 (akar 2 + akar 6)
= - 2/4 akar 6
=-1/2 akar 6