Consider all angles whose reference angle is 45° with terminal sides not in Quadrant I.The angles that share the same cosine val
ue as cos 45° have terminal sides in quadrant
2 answers:
Solution:
As we know reference angle is smallest angle between terminal side and X axis.
As cosine 45 ° is always positive in first and fourth quadrant.
i.e CosФ, Cos (-Ф) or Cos(2π - Ф) have same value.
As, Cos 45°, Cos (-45°) or Cos ( 360° - 45°)= Cos 315°are same.
So, Angles that share the same Cosine value as Cos 45° have same terminal sides will be in Quadrant IV having value Either Cos (-45°) or Cos (315°).
Also, Cos 45° = Sin 45° or Sin 135° i.e terminal side in first Quadrant or second Quadrant.
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Answer:
Option B: x > 0
Step-by-step explanation:
Option A is wrong because will be 0. So, the inequality can't be divided by 0.
Option C is wrong because 1 will suffice this inequality.
Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).
Leaving us with only option B, which is the right answer.