Buktikan identitas trigonometri 1). 1-2cos^2A/sin A x Cos A = tan A - cot A 2). tan A - cosec A x sec A ( 1-2cos^2A) = cot A ^ = pangkat Mohon bantuannya ya !

[tex] \frac{1 - 2 { \ \cos }^{2} \alpha }{ \sin \alpha \cos \alpha } = \tan \alpha - \cot \alpha \\ bukti \\ 1 = { \sin}^{2} \alpha + { \cos \ }^{2} \alpha \\ \frac{ ({ \sin}^{2} \alpha + { \cos }^{2} \alpha ) - 2 { \cos }^{2} \alpha }{ \sin \alpha \cos \alpha } \\ \frac{ { \sin}^{2} \alpha - { \cos }^{2} \alpha }{ \sin \alpha \ \cos \alpha } \\ \frac{ { \sin }^{2} \alpha }{ \sin \alpha \cos \alpha } - \frac{ { \cos }^{2} \alpha }{ \sin \alpha \cos \alpha } \\ \frac{ \sin \alpha }{ \cos \alpha } - \frac{ \cos\alpha }{ \sin \alpha } \\ \tan \alpha - \cot \alpha (terbukti)[/tex]
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