2.sin²A (1+cot²A)=1
saya mohon bantu saya
Penjelasan dengan langkah-langkah:
Nomor 1
[tex] = \cos(b) \cot(b) [/tex]
[tex] = \cos(b) . \frac{ \cos(b) }{ \sin(b) } [/tex]
[tex] = \frac{ \cos {}^{2} (b) }{ \sin(b) } [/tex]
[tex] = \frac{1 - \sin {}^{2} (b) }{ \sin(b) } [/tex]
[tex] = \frac{1}{ \sin(b) } - \frac{ \sin {}^{2} (b) }{ \sin(b) } [/tex]
[tex] = \csc(b) - \sin(b) \: \text{terbukti}[/tex]
[tex] \: [/tex]
Nomor 2
[tex] = \sin {}^{2} (a) .(1 + \cot {}^{2} (a) )[/tex]
[tex] = \sin {}^{2} (a) .( \frac{ \sin {}^{2} (a) }{ \sin {}^{2} (a) } + \frac{ \cos {}^{2} (a) }{ \sin {}^{2} (a) } )[/tex]
[tex] = \sin {}^{2} (a) .( \frac{ \sin {}^{2} (a) + \cos {}^{2} (a) }{ \sin {}^{2} (a) } )[/tex]
[tex] = \cancel{\sin {}^{2} (a) }.( \frac{ \sin {}^{2} (a) + \cos {}^{2} (a) }{ \cancel{\sin {}^{2} (a) } })[/tex]
[tex] = \sin {}^{2} (a) + \cos {}^{2} (a) [/tex]
[tex] = 1 \: \text{terbukti}[/tex]
[answer.2.content]
