michellenguyen29 michellenguyen29
  • 23-07-2022
  • Mathematics
contestada

prove that: 1-sin^2x cos*2x/cos^2x = tan^2x + cos^2x

prove that 1sin2x cos2xcos2x tan2x cos2x class=

Respuesta :

Medunno13
Medunno13 Medunno13
  • 23-07-2022

LHS = (1-sin² cos²)/(cos²)

= (sin² + cos² - sin² cos²)/(cos²)

= (sin/cos)² + 1 - sin²

= tan² + cos²

= RHS

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