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Question 1 of 4
Find θ.
cosθ=0.9726
Round your answer to the nearest degree.
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Calculator Buttons to Use
Shift or 2nd F or INV = Inverse function
sin = Sine function
cos = Cosine function
tan = Tangent function
DMS or ° ‘ ‘‘ = Degree/Minute/Second
= = Equal function
To solve for θ, it has to be alone on one side of the equation.
We can do this by getting the inverse of cos.
| cosθ |
= |
0.9726 |
| θ |
= |
cos-10.9726 |
Now, follow these steps to evaluate cos-10.9726 using your calculator.
1. Press Shift or 2nd F (depending on your calculator)
2. Press cos
3. Press 0.9726
4. Press =
This will give a result of 13.4434139° or 13° when rounded off to the nearest degree.
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Question 2 of 4
Find θ.
sinθ=0.1633
Round your answer to the nearest minute.
Incorrect
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Calculator Buttons to Use
Shift or 2nd F or INV = Inverse function
sin = Sine function
cos = Cosine function
tan = Tangent function
DMS or ° ‘ ‘‘ = Degree/Minute/Second
= = Equal function
To solve for θ, it has to be alone on one side of the equation.
We can do this by getting the inverse of sin.
| sinθ |
= |
0.1633 |
| θ |
= |
sin-10.1633 |
Now, follow these steps to evaluate sin-10.1633 using your calculator.
1. Press Shift or 2nd F (depending on your calculator)
2. Press sin
3. Press 0.1633
4. Press =
This will give a result of 9.39849° which is a decimal degree. In order to round this number off to the nearest minute, one last step is needed.
Finally, this will give a result of 9°23’54.57”.
Since the seconds value, 54.57”, is more than 30”, we can round the minute up to 9°24’.
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Question 3 of 4
Find acute angle θ.
sinθ=810
Round your answer to the nearest minute.
Incorrect
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Progress: 0%
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Calculator Buttons to Use
Shift or 2nd F or INV = Inverse function
sin = Sine function
cos = Cosine function
tan = Tangent function
DMS or ° ‘ ‘‘ = Degree/Minute/Second
= = Equal function
Rounding Off to the Nearest Minute
If the seconds is greater than or equal to 30”, round the minute up.
If the seconds is less than 30”, round the minute down.
To solve for θ, it has to be alone on one side of the equation.
We can do this by getting the inverse of sin.
Now, follow these steps to evaluate sin-1 810 using your calculator.
1. Press Shift or 2nd F (depending on your calculator)
2. Press sin
3. Press 8
4. Press ÷
5. Press 10
6. Press =
This will give a result of 53.1301°.
To round off the result to the nearest minute, press the DMS button and check the seconds value.
Since 43.37” is greater than 30”, we can round the minute up to 53°8’.
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Question 4 of 4
Find acute angle θ.
tanθ=37
Round your answer to the nearest minute.
Incorrect
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Progress: 0%
0:00
Calculator Buttons to Use
Shift or 2nd F or INV = Inverse function
sin = Sine function
cos = Cosine function
tan = Tangent function
DMS or ° ‘ ‘‘ = Degree/Minute/Second
= = Equal function
Rounding Off to the Nearest Minute
If the seconds is greater than or equal to 30”, round the minute up.
If the seconds is less than 30”, round the minute down.
To solve for θ, it has to be alone on one side of the equation.
We can do this by getting the inverse of tan.
Now, follow these steps to evaluate tan-1 37 using your calculator.
1. Press Shift or 2nd F (depending on your calculator)
2. Press tan
3. Press 3
4. Press ÷
5. Press 7
6. Press =
This will give a result of 23.19859°.
To round off the result to the nearest minute, press the DMS button and check the seconds value.
Since 54.93” is greater than 30”, we can round the minute up to 23°12’.
