Information
You have already completed the quiz before. Hence you can not start it again.
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
Question 1 of 4
Find θ θ
cos θ = 0.9726 cos θ = 0.9726
Round your answer to the nearest degree.
Incorrect
Loaded : 0%
Progress : 0%
0:00
Calculator Buttons to Use
Shift or 2nd F or INV = =
sin sin = =
cos cos = =
tan tan = =
DMS or ° ‘ ‘ ‘ ° ‘ ‘ ‘ = =
= = = =
To solve for θ θ
We can do this by getting the inverse of cos cos
cos θ cos θ = = 0.9726 0.9726
θ θ = = cos - 1 0.9726 cos − 1 0.9726
Now, follow these steps to evaluate cos - 1 0.9726 cos − 1 0.9726
1 . 1 . Shift or 2nd F (depending on your calculator)
2 . 2 . cos cos
3 . 3 . 0.9726 0.9726
4 . 4 . = =
This will give a result of 13.4434139 ° 13.4434139 ° 13 ° 13 °
Question 2 of 4
Find θ θ
sin θ = 0.1633 sin θ = 0.1633
Round your answer to the nearest minute.
Incorrect
Loaded : 0%
Progress : 0%
0:00
Calculator Buttons to Use
Shift or 2nd F or INV = =
sin sin = =
cos cos = =
tan tan = =
DMS or ° ‘ ‘ ‘ ° ‘ ‘ ‘ = =
= = = =
To solve for θ θ
We can do this by getting the inverse of sin sin
sin θ sin θ = = 0.1633 0.1633
θ θ = = sin - 1 0.1633 sin − 1 0.1633
Now, follow these steps to evaluate sin - 1 0.1633 sin − 1 0.1633
1 . 1 . Shift or 2nd F (depending on your calculator)
2 . 2 . sin sin
3 . 3 . 0.1633 0.1633
4 . 4 . = =
This will give a result of 9.39849 ° 9.39849 °
Finally, this will give a result of 9 ° 23 ’ 54.57 ” 9 ° 23 ’ 54.57 ”
Since the seconds value, 54.57 ” 54.57 ” more than 30 ” 30 ” , we can round the minute up to 9 ° 24 ’ 9 ° 24 ’
Question 3 of 4
Find acute angle θ θ
sin θ = 8 10 sin θ = 8 10
Round your answer to the nearest minute.
Incorrect
Loaded : 0%
Progress : 0%
0:00
Calculator Buttons to Use
Shift or 2nd F or INV = =
sin sin = =
cos cos = =
tan tan = =
DMS or ° ‘ ‘ ‘ ° ‘ ‘ ‘ = =
= = = =
Rounding Off to the Nearest Minute
If the seconds is greater than or equal to 30 ” 30 ” , round the minute up .less than 30 ” 30 ” , round the minute down .
To solve for θ θ
We can do this by getting the inverse of sin sin
sin θ sin θ = = 8 10 8 10
θ θ = = sin - 1 sin − 1 8 10 8 10
Now, follow these steps to evaluate sin - 1 sin − 1 8 10 8 10
1 . 1 . Shift or 2nd F (depending on your calculator)
2 . 2 . sin sin
3 . 3 . 8 8
4 . 4 . ÷ ÷
5 . 5 . 10 10
6 . 6 . = =
This will give a result of 53.1301 ° 53.1301 °
To round off the result to the nearest minute, press the DMS button and check the seconds value.
53.1301 ° = 53 ° 7 ’ 53.1301 ° = 53 ° 7 ’ 43.37 ” 43.37 ”
Since 43.37 ” 43.37 ” greater than 30 ” 30 ” , we can round the minute up to 53 ° 8 ’ 53 ° 8 ’
Question 4 of 4
Find acute angle θ θ
tan θ = 3 7 tan θ = 3 7
Round your answer to the nearest minute.
Incorrect
Loaded : 0%
Progress : 0%
0:00
Calculator Buttons to Use
Shift or 2nd F or INV = =
sin sin = =
cos cos = =
tan tan = =
DMS or ° ‘ ‘ ‘ ° ‘ ‘ ‘ = =
= = = =
Rounding Off to the Nearest Minute
If the seconds is greater than or equal to 30 ” 30 ” , round the minute up .less than 30 ” 30 ” , round the minute down .
To solve for θ θ
We can do this by getting the inverse of tan tan
tan θ tan θ = = 3 7 3 7
θ θ = = tan - 1 tan − 1 3 7 3 7
Now, follow these steps to evaluate tan - 1 tan − 1 3 7 3 7
1 . 1 . Shift or 2nd F (depending on your calculator)
2 . 2 . tan tan
3 . 3 . 3 3
4 . 4 . ÷ ÷
5 . 5 . 7 7
6 . 6 . = =
This will give a result of 23.19859 ° 23.19859 °
To round off the result to the nearest minute, press the DMS button and check the seconds value.
23.19859 ° = 23 ° 11 ’ 23.19859 ° = 23 ° 11 ’ 54.93 ” 54.93 ”
Since 54.93 ” 54.93 ” greater than 30 ” 30 ” , we can round the minute up to 23 ° 12 ’ 23 ° 12 ’
