Worksheet Find trig values given sides of a right triangle. Find cosine given sine. Solve right triangles given an acute angle.
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.
1)
1)
55
33
44
Find sin A and cos A.
3
4
A) sin A = ; cos A =
5
5
C) sin A =
5
5
; cos A =
4
3
B) sin A =
4
3
; cos A =
5
5
D) sin A =
4
3
; cos A =
3
4
2)
2)
39
15
36
Find tan A and cot A.
13
13
; cot A =
A) tan A =
5
12
C) tan A =
3)
12
5
; cot A =
5
12
B) tan A =
5
12
; cot A =
13
13
D) tan A =
5
12
; cot A =
12
5
3)
15
17
8
Find sec A and csc A.
15
8
; csc A =
A) sec A =
8
15
C) sec A =
17
17
; csc A =
15
8
1
B) sec A =
17
17
; csc A =
8
15
D) sec A =
8
15
; csc A =
17
17
Assume that
function.
is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric
4) sin
A)
=
6
; cos
7
4)
13
7
B)
13
6
C)
7
6
D)
7
13
Solve for x. Round your answer to 2 decimal places.
5)
20
5)
x
39°
A) 12.59
B) 31.78
C) 25.74
D) 15.54
6)
6)
x
A) 6.02
7)
10
53°
B) 7.54
C) 7.99
D) 13.27
7)
51°
x
A) 33.42
43
B) 27.06
C) 34.82
2
D) 53.1
Solve the right triangle for all missing sides and angles to the nearest tenth.
8)
c = 20
B = 26°
A) A = 64°, a = 18, b = 8.8
C) A = 64°, a = 18, b = 9.8
8)
B) A = 64°, a = 8.8, b = 18
D) A = 64°, a = 9.8, b = 8.8
9)
9)
c = 43
B = 25°33'
A) A = 64°27', a = 18.5, b = 38.8
C) A = 64°27', a = 18.4, b = 38.9
B) A = 64°27', a = 38.8, b = 18.5
D) A = 64°27', a = 18.5, b = 20.6
10)
10)
c = 27.2
B = 30.4°
A) A = 59.6°, a = 23.5, b = 13.8
C) A = 59.6°, a = 53.8, b = 31.5
B) A = 59.6°, a = 46.4, b = 53.8
D) A = 59.6°, a = 31.5, b = 53.8
3