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If a sin theta + b cos theta =A cos theta + phi. find A and p h i?
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If a sin theta + b cos theta =A cos theta + phi. find A and p h i?
Given Equation:
sin(theta) + bcos(theta) = Acos(theta) + phi

Finding A:
By comparing the coefficients of sin(theta) on both sides of the equation, we get:
1 = A
Therefore, A = 1

Finding phi:
By comparing the coefficients of cos(theta) on both sides of the equation:
b = A
Therefore, phi = b

Explanation:
The given equation can be rewritten as:
sin(theta) + bcos(theta) = cos(theta) + b
By comparing the coefficients of sin(theta) and cos(theta) on both sides of the equation, we can find the values of A and phi.
From the comparison, we get A = 1 and phi = b.
This means that the equation can be simplified to:
sin(theta) + bcos(theta) = cos(theta) + b
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If a sin theta + b cos theta =A cos theta + phi. find A and p h i?
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