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If the pair of equations x sinθ + y cosθ = 1 and x + y = √2 has infinitely manysolutions, find the value of θ where θ is an acute angle. |
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Answer» Answer: THETA =45° Step-by-step explanation: TWO equations to have infinite solution coefficients of x,y and constants should be PROPORTIONAL sin o cos o 1 ____ = ____ = _____ 1 1 sqrt2 sin45°=cos45°=1/sqrt2 so o=45° |
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