sweetboo8719 sweetboo8719
  • 21-10-2019
  • Mathematics
contestada

Prove that
1 / cos(x) − cos(x) = sin(x) ∙ tan(x) for x ≠ ????2 + k, for all integers k.

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jtellezd jtellezd
  • 24-10-2019

Answer:  From the given expression we can get the  fundamental trigonometry identity

Step-by-step explanation:

1 ÷ cos (×) - cos (×) = sin (×) * tan (×)  ⇒

[1 ÷ cos (×) ] - cos (×) = sin (×)* sin(×)/ cos (×)

1/ cos(×) - cos (×) = sin²(×)/cos(×) ⇒cos(×)/cos(×) -cos²(×) = sin²(×)

1 - cos²(×) = sin²(×)

1= cos²(×) + sin²(×)     fundamental trigonometry identity

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