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:-12
Step-by-step explanation:
-12+3=-9
Answer: 1440°
Step-by-step explanation:
To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:
= (n - 2) × 180
where, n = 10
= (10 - 2) × 180
= 8 × 180
= 1440
8x-5 would be the largest angle because as you approach a larger and larger x value, 8x-5 will skyrocket past the other two. Also when you plug in a low value like 1, 8x-5=3, which is still higher than the other two. The only exception is if you plug in a negative x value which is impossible.
8x-5
I would but I’m stuck on this problem too