Q30 of 186 Page 345

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

Given: tan A = 5/12

Consider (sin A + cos A) sec A = (sin A + cos A)(1/cos A)

= (sin A/cos A) + (cos A/cos A)

= tan A + 1

= (5/12) + 1

= 17/12

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