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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