danielsm20
danielsm20 danielsm20
  • 13-07-2022
  • Mathematics
contestada

Complete the identity: sec(t) - cos(t) = ?
1) sec(t)csc(t)
2) -2tan²(t)
3) 1 + cot(t)
4) sin(t)tan(t)​

Respuesta :

culveryolanda46
culveryolanda46 culveryolanda46
  • 13-07-2022

Step-by-step explanation:

[tex] \sec( \alpha ) - \cos( \alpha ) [/tex]

[tex] \frac{1}{ \cos( \alpha ) } - \cos( \alpha ) [/tex]

[tex] \frac{1}{ \cos( \alpha ) } - \frac{ \cos {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]

[tex] \frac{ \sin {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]

[tex] \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \times \frac{ \sin( \alpha ) }{1} [/tex]

[tex] \tan( \alpha ) \sin( \alpha ) [/tex]

4 is the option

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