Star S.

asked • 11/05/16

Simplifying the following expression to a single trigonometric function

Could someone help walk me through how to simply this expression to a single trigonometric function?
 
 
(1+(sin2x/cos2x))/sec x

1 Expert Answer

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Mayuran K. answered • 11/05/16

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use the numerator 
 
 
(cos^2 x + sin^2 x) / cos^2 x
 
= sec^2 x 
 
sec^2 x * 1 / sec x
 
= sec x
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Star S.

could you please explain your steps?
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11/05/16

Mayuran K.

Remember the trigonometric identity 
 
sin^2 x + cos^2 x = 1
 
1 / cos x = sec x
 
That's how I arrived at my answer star.
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11/05/16

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