bagaimana cara soal poin j?
Matematika
vienli
Pertanyaan
bagaimana cara soal poin j?
1 Jawaban
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1. Jawaban BilChan
[tex]cot ^{2} t = \frac{cos ^{2} t }{sin ^{2} t} [/tex]
[tex]tan ^{2} t = \frac{sin^{2} t }{cos^{2} t} [/tex]
kita masukan ke persamaan
[tex]tan ^{2} t * cos ^{4} t - cot^{2}t * sin^{4}t = \frac{sin ^{2}t}{cos ^{2}t} * cos^{4}t - \frac{cos ^{2}t}{sin ^{2}t} * sin^{4}t [/tex]
[tex]= sin^{2} t * \frac{cos^{4}t}{cos^{2}t} - cos^{2} t * \frac{sin^{4}t}{sin^{2}t} = sin^{2}t * cos^{2}t - cos^{2}t * sin^{2}t [/tex]
[tex]=sin^{2}t * cos^{2}t-sin^{2}t * cos^{2}t= 0[/tex]