Question

If the pair of equations x sinθ + y cosθ = 1 and x + y = √2 has infinitely many

solutions, find the value of θ where θ is an acute angle.​

Answer 1

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°