﻿ Trigonometric Functions Values Worksheet | Problems & Solutions

# 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°.]

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.]

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.]

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°.]

5.
Find the value of tan ($\frac{1}{9}$$\pi$) 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.

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°.]

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.

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.

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.

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°.]