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Question 1 of 5
Evaluate using the calculator.
sin25°18’
Round your answer to 2 decimal places
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Calculator Buttons to Use
sin = Sine function
cos = Cosine function
tan = Tangent function
DMS or ° ‘ ‘‘ = Degree/Minute/Second
= = Equal function
Follow these steps to evaluate sin25°18’ using your calculator.
1. Press sin
2. Press 25 and DMS or ° ‘ ‘‘
3. Press 18 and DMS or ° ‘ ‘‘ again
4. Press =
This will give a result of 0.4273578 or 0.43 when rounded off to 2 decimal places.
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Question 2 of 5
Evaluate using the calculator.
cos17°48’
Round your answer to 2 decimal places
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Calculator Buttons to Use
sin = Sine function
cos = Cosine function
tan = Tangent function
DMS or ° ‘ ‘‘ = Degree/Minute/Second
= = Equal function
Follow these steps to evaluate cos17°48’ using your calculator.
1. Press cos
2. Press 17 and DMS or ° ‘ ‘‘
3. Press 48 and DMS or ° ‘ ‘‘ again
4. Press =
This will give a result of 0.95212939 or 0.95 when rounded off to 2 decimal places.
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Question 3 of 5
Evaluate using the calculator.
52tan14°39′
Round your answer to 2 decimal places
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Calculator Buttons to Use
sin = Sine function
cos = Cosine function
tan = Tangent function
DMS or ° ‘ ‘‘ = Degree/Minute/Second
= = Equal function
Start by calculating the tangent value in the denominator.
Follow these steps to evaluate tan14°39’ using your calculator.
1. Press tan
2. Press 14 and DMS or ° ‘ ‘‘
3. Press 39 and DMS or ° ‘ ‘‘ again
4. Press =
This will give a result of 0.261412576.
Proceed with calculating the whole given number.
| 52tan14°39′ |
= |
520.261412576 |
|
|
= |
198.9192743 |
|
= |
198.92 |
Rounded off to 2 decimal places |
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Question 4 of 5
Find θ.
sinθ=0.8155
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 sin.
| sinθ |
= |
0.8155 |
| θ |
= |
sin-10.8155 |
Now, follow these steps to evaluate sin-10.8155 using your calculator.
1. Press Shift or 2nd F (depending on your calculator)
2. Press sin
3. Press 0.8155
4. Press =
This will give a result of 54.6368° or 55° when rounded off to the nearest degree.
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Question 5 of 5
Find θ.
tanθ=0.8326
Round your answer to the nearest minute.
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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 tan.
| tanθ |
= |
0.8326 |
| θ |
= |
tan-10.8326 |
Now, follow these steps to evaluate tan-10.8326 using your calculator.
1. Press Shift or 2nd F (depending on your calculator)
2. Press tan
3. Press 0.8326
4. Press =
This will give a result of 39.78076529° 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 39°46’50.76”.
Since the seconds value, 50.76”, is more than 30”, we can round the minute up to 39°47’.
