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1. If 3 sin A + 5 cos A=5 then show that 5 sin A - 3 cos A= +3.(please provide full solution.)​

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ong>Answer:

Answer ⤵️

Given 3 SIN A + 5 cos A = 5

Let 5 sin A - 3 cos A = x

Squaring on both sides for both the equation

9 sin² A + 25 cos² A + 30 sin A cos A = 25

25 sin² A + 9 cos² A - 30 sin A cos A = x²

Adding the equation

34( sin² A + cos² A ) = 25 + x²

x² = 34-25 = 9

x= 3

5 sin A - 3 cos A 3

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