Trigonometric Conversions and Evaluations

Trigonometric Conversions and Evaluations

University

10 Qs

quiz-placeholder

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Trigonometric Conversions and Evaluations

Trigonometric Conversions and Evaluations

Assessment

Quiz

Mathematics

University

Hard

CCSS
HSF.TF.A.2, HSF.TF.C.8, HSF.TF.A.1

+4

Standards-aligned

Created by

Jose Hernandez

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 10 pts

Find tanθ if sinθ = √10/10 and cosθ = 5√10/5

√10/10
√5/5
10/√10
5√10/10

Tags

CCSS.HSF.TF.C.8

2.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

Convert the angle in radians to degrees: 17π/4

360 degrees
540 degrees
900 degrees
765 degrees

Tags

CCSS.HSF.TF.A.1

3.

MULTIPLE CHOICE QUESTION

2 mins • 10 pts

Find the exact value of the expression: 2 sin 5π/4 + 4 tan 5π/6

-√2 - 4√3/3
2√2 - 4√3/3
-√2 + 4√3/3
√2 + 4√3/3

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

2 mins • 10 pts

Convert 70°15'21" to a decimal in degrees. Round the answer to four decimal places

70.5000
70.1500
70.2558
71.0000

5.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

Sophia is designing a Ferris wheel that mimics the properties of the unit circle. The Ferris wheel has a radius of 1 meter, and its center is located at the origin (0,0) of a coordinate plane. A single seat moves around the Ferris wheel, starting at the point (1,0).

If the seat rotates counterclockwise by an angle of π/3​ radians, what are the coordinates of the seat on the Ferris wheel?

(1/2,√3/2)

(√3/2,1/2)

(0, 1)
(1, 0)

Tags

CCSS.HSG.SRT.C.8

6.

MULTIPLE CHOICE QUESTION

2 mins • 10 pts

Liam is hiking up a hill and stops at a triangular rock formation. The rock formation is a perfect right triangle with the following features:

  • The height of the triangle is 4 units.

  • The base of the triangle is 3 units.

  • The hypotenuse is the side opposite the right angle.

  1. What are the exact values of the sine, cosine, and tangent of the angle at the base of the triangle where the height meets the base?

sinθ=4/5 ​,cosθ=​3/5 ,tanθ=4/3​

sinθ=3/5 ​,cosθ=4/5 ,tanθ=3/4

sinθ=4/4 ​,cosθ=3/3 ,tanθ=4/3

sinθ=​4/6,cosθ=3/6,tanθ=4/6

Tags

CCSS.HSG.SRT.C.6

7.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

tan 17π/6

-1/√3
-√3
1/√3
0

Tags

CCSS.HSF.TF.A.2

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