Trigonometric Conversions and Evaluations
Quiz
•
Mathematics
•
University
•
Practice Problem
•
Hard
+4
Standards-aligned
Jose Hernandez
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10 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 10 pts
Find tanθ if sinθ = √10/10 and cosθ = 5√10/5
Tags
CCSS.HSF.TF.C.8
2.
MULTIPLE CHOICE QUESTION
1 min • 10 pts
Convert the angle in radians to degrees: 17π/4
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
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
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)
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.
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
Tags
CCSS.HSF.TF.A.2
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