CarionF567026 CarionF567026
  • 03-11-2022
  • Mathematics
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Write expression in terms of sine and cosine, and simplify so that no quotients appear in final expression.

Write expression in terms of sine and cosine and simplify so that no quotients appear in final expression class=

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VickieE535193 VickieE535193
  • 03-11-2022

Use the identity

[tex]1+\tan ^2x=\sec ^2x[/tex]

Then the expression becomes

[tex]\frac{\sec^2x}{\sec x}=\sec x[/tex]

Now, sec x is the reciprocal of cos x.

[tex]\frac{1+\tan^2x}{\sec x}=\frac{1}{\cos x}[/tex]

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