Option A. The angles do not have the same reference angle.
Explanation:
1) <u>Angle 5π / 3 radians:</u>
- 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) <u>Angle 5π / 6 radians:</u>
- 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) <u>Conclusion</u>:
- 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.
Answer:
-33
Step-by-step explanation:
-11 + -11 + -11 = -33
-11 x 3 = -33
Hope this helps you :)
Answer:
16
Step-by-step explanation:
Multiplecation by the length width, and the height, then divide and its 16.
Answer:
Step-by-step explanation:
36 times 2 equals 72.
72
+36
_____
108
Answer:
3z + 6
Step-by-step explanation:
5.7 + (3z + 0.3) =
= 5.7 + 3z + 0.3
= 3z + 6
