Are these angle measures to the nearest tenth of a degree correct?
1. cos^-1(.3)
Ans: 72.5
2. t^-1(38.4)
Ans: 88.5
3. sin^-1(.7)
Ans: 44.4
All correct, to the nearest tenth of a degree.
Yes, the angle measures provided are correct to the nearest tenth of a degree.
1. cos^(-1)(0.3) does indeed equal approximately 72.5 degrees.
2. tan^(-1)(38.4) approximately equals 88.5 degrees.
3. sin^(-1)(0.7) is approximately equal to 44.4 degrees.
To determine if these angle measures to the nearest tenth of a degree are correct, we need to use inverse trigonometric functions.
1. For cos^⁻1(.3):
We can use the inverse cosine function, cos^⁻1, to find the angle whose cosine is 0.3.
cos^⁻1(0.3) ≈ 72.5°
So, the first angle measure, cos^⁻1(.3) ≈ 72.5°, is correct.
2. For tan^⁻1(38.4):
We can use the inverse tangent function, tan^⁻1, to find the angle whose tangent is 38.4.
tan^⁻1(38.4) ≈ 88.5°
So, the second angle measure, tan^⁻1(38.4) ≈ 88.5°, is correct.
3. For sin^⁻1(.7):
We can use the inverse sine function, sin^⁻1, to find the angle whose sine is 0.7.
sin^⁻1(0.7) ≈ 44.4°
So, the third angle measure, sin^⁻1(.7) ≈ 44.4°, is correct.
Therefore, all three angle measures to the nearest tenth of a degree are correct.