1.

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.​

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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