Question
If (sinA - COSA)/(sinA + cosA) = 2/3 , then the value of tan A is
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Answer:
tan A = 5
Step-by-step explanation:
( sinA - cosA)/(sinA + cos A) = 2/3
sin A - cos A = 2/3 ( sin A + cos A )
or sin A - cos A = 2/3 sin A + 2/3 cos A
or sin A - 2/3 sin A = cos A + 2/3 cos A
or 1/3 sin A = 5/3 cos A
or sin A / cos A = 5
tan A = 5
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