identitas trigonometri dari tan a/sec²a+cot a/cosec²a
Matematika
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Pertanyaan
identitas trigonometri dari tan a/sec²a+cot a/cosec²a
1 Jawaban
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1. Jawaban dnnyz07
tan a / (sec^2 a) + cot a / (csc^2 a)
= (sin a/cos a) / (1/cos^2 a) + ( cos a /sin a) / (1/sin^2 a)
= (sina /cosa x cos^2 a/1 ) + ( cosa/sina × sin^2 a )
= sin a . cos a + cos a . sin a
= sin (a + a)
= sin 2a