please answer this i need
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Given:-.
tan A = 6/5
To Find:-
value for (sin A + cos A) / (sin A - cos A)
Solution:-
(sin A + cos A) / (sin A - cos A)
- Dividing numerator and denominator by cos A.
•°• (sin A + cos A)/cos A / (sin A - cos A)/cos A
•°• (sin A/cos A + cos A/cos A) / (sin A/cos A - cos A/cos A)
(tan A + 1) / (tan A - 1)
= (6/5 + 1) / (6/5 - 1)
= ((6 + 5)/5) / ((6 - 5)/5)
= 11/5 / 1/5
= 11/5 × 5/1
= 11/1 = 11
Answer
value for (sin A + cos A) / (sin A - cos A) = 11.
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