Respuesta :

Nayefx

Answer:

SEE BELOW

Step-by-step explanation:

to understand this

you need to know about:

  • trigonometry
  • PEMDAS

tips and formulas:

  • tanA=sinA/cosA
  • sin²A=1-cos²A

let's solve:

L.H.S=

  1. [tex] \sf rewrite \: \tan ^{2} (x) \: as \: \frac{sin ^{2}(x) }{ \cos ^{2} (x) } : \\ \sf \sin^{2} (x). (\frac{sin ^{2}(x) }{ \cos ^{2} (x) }) [/tex]
  2. [tex] \sf rewrite \: si {n}^{2} x \: as \: 1 - co {s}^{2} x : \\ \sf \sin^{2} (x). \{\frac{1 - cos ^{2}(x) }{ {cos}^{2}(x) } \}[/tex]
  3. [tex] \sf \: rewrite: \\ \sf \sin^{2} (x). \{\frac{1 }{ {cos}^{2}(x) } - 1\}[/tex]
  4. [tex] \sf distribute : \\ \frac{ \sin ^{2} (x) }{ \cos ^{2} (x) } - \sin ^{2} (x) \\ \tan ^{2} (x) - \sin ^{2} (x) [/tex]

=R.H.S

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