jdepaolo15 jdepaolo15
  • 10-06-2019
  • Mathematics
contestada

Which expression is equivalent to sec2x − 1?

Respuesta :

jimrgrant1 jimrgrant1
  • 10-06-2019

Answer:

tan²x

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1

Divide all terms by cos²x

[tex]\frac{sin^2x}{cos^2x}[/tex] + [tex]\frac{cos^2x}{cos^2x}[/tex] = [tex]\frac{1}{cos^2x}[/tex], that is

tan²x + 1 = sec²x ( subtract 1 from both sides )

tan²x = sec²x - 1

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