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:
0.6.
Step-by-step explanation:
Sin A = opposite side / hypotenuse
= 3/5 = 0.6.
Answer:
30cm, 60cm
Step-by-step explanation:
Given data
Dimensions of the first rectangle
Length =10cm
Width =20cm
We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3
Hence the dimensions of the second rectangle is
Length =10*3= 30cm
Width = 20*3= 60cm
Answer:
1.25p
Step-by-step explanation:
p = amount raised last year
amount raised this year = p +(25% of p)
=1 p+0.25p
=p(1+0.25)
=1.25p
Answer:
I'm not 100% sure love, but I think it would be 12x.
Step-by-step explanation:
