Buktikan identitas trigonometri 1/tan a + tan a = 1/sin a.cos a
Jawaban:
[tex] \frac{1}{tan \: \alpha } + tan \: \alpha = \frac{1}{sin \: \alpha. \: cos \: \alpha } \\ \\ \frac{1}{tan \: \alpha } + tan \: \alpha \\ \frac{1}{ \frac{sin \: \alpha }{cos \: \alpha } } + \frac{sin \: \alpha }{cos \: \alpha } \\ \frac{cos \: \alpha }{sin \: \alpha } + \frac{sin \: \alpha }{cos \: \alpha } \\ \frac{ {cos}^{2} \alpha + {sin}^{2} \alpha }{sin \: \alpha .\: cos \: \alpha } \\ \frac{1}{sin \: \alpha .cos \: \alpha } [/tex]
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