﻿ Trigonometric Functions of Acute Angles Worksheet | Problems & Solutions
To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

# Trigonometric Functions of Acute Angles Worksheet

Trigonometric Functions of Acute Angles Worksheet
• Page 1
1.
What is the value 70° 45′ in decimal form?
 a. 70.55° b. 70.75° c. 70.85° d. 70.65°

#### Solution:

70° 45′ = (70 + 45 / 60)° = 70.75°

Correct answer : (2)
2.
Write the value of 102°13′ in decimal form, rounded to four decimal places.
 a. 102.0304° b. 102.5178° c. 102.9605° d. 102.2167°

#### Solution:

102°13′ = (102 + 13 / 60)° = 102.2167°

Correct answer : (4)
3.
Find the value of sin 30.35° in decimal form rounded to four decimal places.
 a. 0.5053 b. 0.5038 c. 0.5043 d. 0.5

#### Solution:

Sin 30.35° = 0.50528088
[Use a calculator.]

Correct answer : (1)
4.
What is the value of tan 70.1° rounded to four decimal places?
 a. 2.7625 b. 0.7625 c. 2.6625 d. 70.1

#### Solution:

Tan 70.1° = 2.762469503
[Use a calculator.]

Correct answer : (1)
5.
What is the value of Sec 5.25° rounded to four decimal places?
 a. 0.1904 b. 5.25 c. 1.0042 d. 0.9958

#### Solution:

Sec 5.25° = 1.0042, rounded to four decimal places.
[Use a calculator.]

Correct answer : (3)
6.
What is the value of tan $\frac{\pi }{3}$ rounded to four decimal places?
 a. 1.732 b. 0.5773 c. 1.0472

#### Solution:

tan π3 = tan (1.047197551) = 1.7320
[Use a calculator.]

Correct answer : (1)
7.
Write the value of cos $\frac{3\pi }{5}$ rounded to four decimal places.
 a. 0.9995 b. - 0.3249 c. - 0.3090 d. 0.9945

#### Solution:

cos 3π5 = cos (1.884955592) = - 0.3090
[Use a calculator.]

Correct answer : (3)
8.
What is the value of csc $\frac{3\pi }{4}$ rounded to four decimal places?
 a. - 0.7071 b. 0.7071 c. - 1.4142 d. 1.4159

#### Solution:

csc 3π4 = csc(2.35619449)
[Use a calculator.]

= 1.4159, rounded to four decimal places.

Correct answer : (4)
9.
The value of Sin (- 39° 20′) rounded to four decimal places is:
 a. - 0.6338 b. 0.6320 c. - 0.6427 d. 0.6338

#### Solution:

Be sure your calculator is in the degree mode.

Use the Sin key.

Sin (-39°20′) = Sin [- (39 + 20 / 60)]°

= Sin (- 39.33333333)°

= - 0.6338

Note that - 39°20′ + 360° = 320° 40′. Since a - 39° 20′ angle is coterminal with 320°40′ angle, its terminal side is in the fourth quadrant and the sine is negative.

Correct answer : (1)
10.
What is the value of cot (- 230° 24′) rounded to four decimal places?
 a. 0.7875 b. - 0.7875 c. - 0.8273 d. 0.8273

#### Solution:

cot (- 230° 24′) = cot[- (230 + 24 / 60)°]
[Change minutes into degrees.]

= cot (- 230.4°)

= - 0.8273
[Use a calculator.]

Correct answer : (3)

*AP and SAT are registered trademarks of the College Board.