I have no idea how to even begin this question.

Thank you!

Step-by-step explanation:

Start by solving for sin(x).

  4sin(x)² = 2

  sin(x)² = 1/2 . . . . divide by 4

  sin(x) = ±√(1/2) = ±(√2)/2

Use your knowledge of the sine function to recognize that the reference angle is 45°, and that the angles x will be ...

  x = ±45° or 180°±45°   with multiples of 360° added

The solutions in the desired range are ...

  x ∈ {135°, 225°, 315°, 405°}

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step-by-step explanation:

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct