tolong buktikan make cara yaa
Matematika
Ikapratiw
Pertanyaan
tolong buktikan make cara yaa
1 Jawaban
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1. Jawaban Robinn
[ t = x ]
a.
secx = sinx (tanx + cotx)
secx = sinx (sinx/cosx + cosx/sinx)
secx = sinx (sin²x + cos²x / sinxcosx)
secx = sinx (1 / sinxcosx)
secx = 1 / cosx
secx = secx
b.
2sin²x + cos²x = csc²x + 1 / csc²x
2sin²x + cos²x = csc²x/csc²x + 1/csc²x
2sin²x + cos²x = 1 + 1/(1/sin²x)
2sin²x + cos²x = 1 + sin²x
2sin²x + cos²x = 1 - sin²x + 2sin²x
2sin²x + cos²x = 2sin²x + cos²x