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Trigonometric Functions Values Worksheet

Trigonometric Functions Values Worksheet
  • Page 1
 1.  
Find the value of cos (11° 11′ + 17° 6′) in decimal degrees.
a.
-0.99
b.
1.93
c.
0.52
d.
0.88


Solution:

Use the calculator in degree mode.

cos (11° 11′ + 17° 6′) = cos (28° 17′)

Press the cos key, enter the number 28° 17′
[If the calculator accepts angle measures in degrees and minutes.]

cos 28° 17′ = 0.88, rounded to four decimal places.

cos 28° 17′ = cos (28 + 17 / 60
[If the calculator does not accept the measure of an angle in degrees and minutes then convert it into decimal degrees.]

= cos (28.2833°)

= 0.88, rounded to four decimal places.
[Press the cos key, enter the number 28.2833°.]


Correct answer : (4)
 2.  
Find the value of cot 52° 22′ rounded to four decimal places.
a.
1.297
b.
1.2901
c.
0.7751
d.
0.771


Solution:

Use the calculator in degree mode.

Press the tan key, enter the number 52° 22′ and then press the reciprocal key.
[If the calculator accepts angle measures in degrees and minutes.]

cot 52° 22′ = 0.771, rounded to four decimal places.

cot 52° 22′ = cot (52 + 22 / 60
[If the calculator does not accept the measure of an angle in degrees and minutes then convert it into decimal degrees.]

= cot (52.3667)°

= 0.771, rounded to four decimal places.
[Press the tan key, enter the number 52.3667° and then press the reciprocal key.]


Correct answer : (4)
 3.  
Find the value of csc 194°30′ rounded to four decimal places.
a.
-3.9939
b.
-3.63
c.
-0.25
d.
4.04


Solution:

Use the calculator in degree mode.

Press the sin key, enter the number 194° 30′ and then press the reciprocal key.
[If the calculator accepts angle measures in degrees and minutes.]

csc 194° 30′ = -3.9939, rounded to four decimal places.

csc 194° 30′ = csc (194 + 30 / 60
[If the calculator does not accept the measure of an angle in degrees and minutes then convert it into decimal degrees.]

= csc (194.5°)

= -3.9939, rounded to four decimal places.
[Press the sin key, enter the number 194.5° and then press the reciprocal key.]


Correct answer : (1)
 4.  
Fin the value of tan 330° 29′ rounded to two decimal places.
a.
-3.38
b.
0.54
c.
-0.57


Solution:

Use the calculator in degree mode.

Press the tan key, enter the number 330° 29′.
[If the calculator accepts angle measures in degrees and minutes.]

tan 330° 29′ = -0.57, rounded to two decimal places.

tan 330° 29′ = tan (330 + 29 / 60
[If the calculator does not accept the measure of an angle in degrees and minutes then convert it into decimal degrees.]

= tan (330.483°)

= -0.57, rounded to two decimal places.
[Press the tan key, enter the number 330.483°.]



Correct answer : (4)
 5.  
Find the value of tan (19π) rounded to four decimal places.
a.
0.0061
b.
-0.0004
c.
0.3638
d.
0.3489


Solution:

Use the calculator in radian mode.

tan (19π) = 0.363769
[Press the tan key, enter the number 19π.]

= 0.3638, rounded to four decimal places.


Correct answer : (3)
 6.  
Find the value of sin (27° 21′ - 13° 6′) in decimal degrees.
a.
0.25
b.
1.85
c.
-0.66
d.
0.99


Solution:

Use the calculator in degree mode.

sin (27° 21′ - 13° 6′) = sin (14° 15′)

Press the sin key, enter the number 14° 15′
[If the calculator accepts angle measures in degrees and minutes.]

sin 14° 15′ = 0.25

sin 14° 15′ = sin (14 + 15 / 60
[If the calculator does not accept the measure of an angle in degrees and minutes then convert it into decimal degrees.]

= sin (14.25°)

= 0.25
[Press the cos key, enter the number 14.25°.]


Correct answer : (1)
 7.  
Find the value of sin 32.72° rounded to four decimal places.
a.
1.9646
b.
0.9646
c.
0.5405
d.
1.0405


Solution:

Press the sin key and enter the number 32.72.
[Use the calculator in degree mode.]

Sin 32.72° = 0.540534
[Display on the calculator.]

Sin 32.72° = 0.5405, rounded to four decimal places.


Correct answer : (3)
 8.  
Find the value of tan 61.3° rounded to four decimal places.
a.
0.0008
b.
-0.9992
c.
2.3265
d.
1.8265


Solution:

Press the tan key and enter the number 61.3.
[Use the calculator in degree mode.]

Tan 61.3° = 1.82654
[Display on the calculator.]

Tan 61.3° = 1.8265, rounded to four decimal places.


Correct answer : (4)
 9.  
Find the value of sec 18.21° rounded to four decimal places.

a.
1.2463
b.
0.8024
c.
0.9499
d.
1.0527


Solution:

Press the cos key, enter the number 18.21 and then press the reciprocal key.
[Use the calculator in degree mode.]

Sec 18.21° = 1.0527224
[Display on the calculator.]

Sec 18.21° = 1.0527, rounded to four decimal places.


Correct answer : (4)
 10.  
Find the value of cos 93° 37′ rounded to four decimal places.
a.
0.8074
b.
-0.0631
c.
-0.0588
d.
0.63


Solution:

Use the calculator in degree mode.

Press the cos key, enter the number 93° 37′
[If the calculator accepts angle measures in degrees and minutes.]

cos 93° 37′ = -0.0631, rounded to four decimal places.

cos 93° 37′ = cos (93 + 37 / 60
[If the calculator does not accept the measure of an angle in degrees and minutes then convert it into decimal degrees.]

= cos (93.6167°)

= -0.0631, rounded to four decimal places.
[Press the cos key, enter the number 93.6167°.]


Correct answer : (2)

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