Buktikan 3tan^x - secx+1=0
Matematika
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Pertanyaan
Buktikan 3tan^x - secx+1=0
1 Jawaban
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1. Jawaban DimasRaka
3tan²x - secx + 1 = 0
3sin²x/cos²x - 1/cosx = -1
3sin²x/cos²x - cosx/cos²x = -1
(3sin²x - cosx)/cos²x = -1
3sin²x - cosx = -(cos²x)
3sin²x + cos²x = cosx
2sin²x + sin²x + cos²x = cosx
2sin²x + 1 = cosx
1 = cosx - 2sin²x