Question

1) csc x - sen x = cos x cot x

2) sen x * tan x = sec x - cos x

Answer 1

Respuesta:

ojala y te sirva

Explicación paso a paso:

1)

[tex] \csc(x ) - \sin(x) = \cos(x) ( \frac{ \cos(x) }{ \sin(x) } [/tex]

[tex] \csc(x) - \sin(x) = \frac{ { \cos(x) }^{2} }{ \sin(x) } [/tex]

[tex] \csc(x) - \sin(x) = \frac{1 - { \sin(x) }^{2} }{ \sin(x) } [/tex]

[tex] \csc(x) - \sin(x) = \frac{1}{ \sin(x) } - \frac{ { \sin(x) }^{2} }{ \sin(x) } [/tex]

[tex] \csc(x) - \sin(x) = \csc(x) - \sin(x) [/tex]

2)

[tex] \sin(x) ( \frac{ \sin(x) }{ \cos(x) }) = \sec(x) - \cos(x) [/tex]

[tex] \frac{ { \sin(x) }^{2} }{ \cos(x) } = \sec(x) - \cos(x) [/tex]

[tex] \frac{1 - { \cos(x) }^{2} }{ \cos(x) } = \sec(x) - \cos(x) [/tex]

[tex] \frac{1}{ \cos(x) } - \frac{ { \cos(x) }^{2} }{ \cos(x) } = \sec(x) - \cos(x) [/tex]

[tex] \sec(x) - \cos(x) = \sec(x) - \cos(x) [/tex]