Answer:
8
Step-by-step explanation:
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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You just need to multiply 185 by 3. 185 x 3 = 555
Answer:
a. √29
Step-by-step explanation:
The formula for the magnitude of a vector is magnitude = sqrt(x^2 + y^2).
For vector (5, -2):
magnitude = sqrt(5^2 + -2^2)
magnitude = sqrt(25 + 4)
magnitude = sqrt(29)
Therefore, the answer is √29.
Hope this helped :D
