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If Tan a =` 5/12` , Find the Value of (Sin A+ Cos A) Sec A.

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Question

If tan A =` 5/12` ,  find the value of (sin A+ cos A) sec A.

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Solution

(sin A + cos A ) sec A

   = `( sinA + cos A ) 1/ cos A`

  =`(sinA )/( cos A) + ( cos A)/( cos A)` 

  = tan A + 1 

  = `5/12 +1/1`

   =` (5+12)/12`

  =`17/12`

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Chapter 13: Trigonometric identities - Exercises 3

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 13 Trigonometric identities
Exercises 3 | Q 30
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