Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
1) Angle 5π / 3 radians:
Convert radians to degrees: 5π/3 × 180° / π = 300°
300° is in the fourth quadrant
The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
∴ The reference angle for this angle is 60°.
2) Angle 5π / 6 radians:
Convert radians to degrees: 5π/6 × 180° / π = 150°
150° is in the second quadrant
The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
∴ The reference angle for this angle is 30°.
3) Conclusion:
Since the reference angles are different, the tangent ratios have different values.
tan (5π/3) = - tan(60°) = - √3
tan (5π/6) = - tan(30°) = - (√3)/3
Note that the tangent is negative in both second and fourth quadrants.
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Answer:
can't be simplified or you can add you get the answer
6600 /minute so...
396,000 /hour
Answer: c<2
Step-by-step explanation:
-6c<-12
c<-12/-6
c<2
Complete question:
A circle with radius 3 has a sector with a central angle of 1/9 pi radians
what is the area of the sector?
Answer:
The area of the sector =
square units
Step-by-step explanation:
To find the area of the sector of a circle, let's use the formula:

Where, A = area
r = radius = 3
Substituting values in the formula, we have:

The area of the sector =
square units