AnswersCR CCSS Math 2 S2 M2960OXTrigonometric Ratios

Trigonometric Ratios Answers

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1
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Which mathematician used the lengths of the chords created by the position of the Sun during the seasons to create a table of sine values?

A
Muhammad ibn Musa al-Kwarizmi
B
Euclid
C
Hipparchus
D
Leonhard Euler
2
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Which statements are true regarding the development of trigonometry? Check all that apply.Ancient mathematicians used trigonometry to find angles of triangles.Ancient mathematicians used trigonometry to track the position of the sun.Tangent was the first trigonometric relationship used by mathematicians.Cosine was the first trigonometric relationship used by mathematicians.Sine was the first trigonometric relationship used by mathematicians.

A
Ancient mathematicians used trigonometry to find angles of triangles.
B
Ancient mathematicians used trigonometry to track the position of the sun.
C
Tangent was the first trigonometric relationship used by mathematicians.
D
Cosine was the first trigonometric relationship used by mathematicians.
E
Sine was the first trigonometric relationship used by mathematicians.
3

Why are the values for sine and cosine equal at 45°?

A
All three of the side lengths of the triangle are 1.
B
The length of the side opposite the 45° angle equals 1.
C
The length of the side opposite the 45° angle is twice the length of the side adjacent to the 45° angle.
D
The length of the side opposite the 45° angle equals the length of the side adjacent to the 45° angle.
4

Which statements are true regarding the diagram? Check all that apply.

A
The side opposite the 60° angle has a length of
B
The side opposite the 60° angle has a length of .
C
sin(60°) =
D
sin(60°) =
E
The other acute angle of the triangle is 30°.
5

What is the value of cos(150°)?

A
Option
B
Option
C
Option
D
Option
6

Which statements are true about the tangent function? Check all that apply.

A
tan(∠PAB) =
B
tan(∠APB) =
C
tan(∠PAB) =
D
tan(∠PAB) =
E
tan(∠PAB) =

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