Sin 75 + sin 15 = Mohon bantuannya ya kak
Matematika
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Pertanyaan
Sin 75 + sin 15 =
Mohon bantuannya ya kak
Mohon bantuannya ya kak
1 Jawaban
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1. Jawaban Sharon461
sin 75 = sin (120 - 45)
= (sin 120 x cos 45) - (cos 120 x sin 45)
= (\frac{1}{2} \sqrt{3}21√3 x \frac{1}{2} \sqrt{2}21√2 ) - (\frac{-1}{2}2−1 x \frac{1}{2} \sqrt{2}21√2 )
= \frac{1}{4} \sqrt{6}41√6 + \frac{1}{4} \sqrt{2}41√2
= 0,965..
Sin 15
sin 45.cos30-cos45.sin30
=\frac{1}{2} \sqrt{2} - \frac{1}{2} \sqrt{3} - \frac{1}{2} \sqrt{2} \frac{1}{2}21√2−21√3−21√221
=\frac{1}{2} \sqrt{6} - \frac{1}{2} \sqrt{2}21√6−21√2
=\frac{1}{2} ( \sqrt{6} - \sqrt{2} )21(√6−√2)