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If a sin theta + b cos theta is equal to a cos theta + p h i find a and p h i?
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If a sin theta + b cos theta is equal to a cos theta + p h i find a an...


Solution:

Let's solve the given equation sin(theta) + bcos(theta) = acos(theta) + phi to find the values of a and phi.

Equating coefficients:

  • Comparing coefficients of sin(theta) on both sides: 1 = 0, which is not possible.
  • Comparing coefficients of cos(theta) on both sides: b = a.
  • Comparing constant terms on both sides: 0 = phi.


Final values:

  • Therefore, a = b.
  • And phi = 0.



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