nilai dai 2 tan teta / 1+ tan2 teta=
SBMPTN
carolineaugust
Pertanyaan
nilai dai 2 tan teta / 1+ tan2 teta=
1 Jawaban
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1. Jawaban Nurdiansayang
misal; spya lbh mudah saya ganti teta dengn "x" dan sinkuadrat x/tankuadrat x/dsb saya ganti jadi sin2x/tan2x/dsb
=2tanx/1+tan2x
=2sinx/cosx / 1+(sin2x/cos2x)
=2sinx/cosx / (cos2x/cos2x + (sin2x/cos2x)
=2sinx/cosx / (cos2x+sin2x)/cos2x
=2sinx/cosx . cos2x/(cos2x+sin2x)
=2sinx/cosx . cos2x/ 1
=2sinx+cosx
ingat rumus identitas dr
sin2x+cos2x=1