bentuk berikut sama dengan bentuk (identitas trigonometri) sin^2 x . tanx + sin^2 x . cot x dan -cot x + tan x terima kasih

[tex] a). \sin ^{2} x. \tan \: x + { \sin}^{2} x. \cot \: x \\ = { \sin }^{2} x( \tan \: x + \cot \: x) \\ = { \sin }^{2} x( \frac{ \sin(x) }{ \cos(x) } + \frac{ \cos(x) }{ \sin(x) } ) \\ = { \sin }^{2} x( \frac{ { \sin}^{2}x + { \cos}^{2} x}{ \sin(x). \cos(x) } ) \\ = \sin(x) ( \frac{1}{ \cos(x) } ) \\ = \tan(x) [/tex]

[tex] b). - \cot(x) + \tan(x) \\ = - \frac{ \cos(x) }{ \sin(x) } + \frac{ \sin(x) }{ \cos(x) } \\ = \frac{ - { \cos}^{2}x + { \sin}^{2} x}{ \sin(x ) \cos(x) } \times \frac{ - 2}{ - 2} \\ = \frac{2( { \cos }^{2} x - { \sin}^{2}x) }{ - (2 \sin(x) . \cos(x) } \\ = \frac{2 \cos 2x}{ - \sin2x} \\ = - 2 \cot(2x) [/tex]