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Trigonometric Ratios — Quiz Answers

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Two students describe the sides of right triangle ABC in relation to angle cap b Tomas Iliana line segment AB is the hypotenuse. line segment AB is the hypotenuse. line segment AC is the opposite side. line segment BC is the opposite side. line segment BC is the adjacent side. line segment AC is the adjacent side. Who is correct? Explain.

A
Iliana is correct; line segment BC is opposite angle cap b and line segment AC is adjacent to angle cap b .
B
Both are correct because both line segment AC and line segment BC are opposite angle cap b .
C
Neither is correct because neither line segment AC nor line segment BC is opposite angle cap b .
D
Tomas is correct; line segment AC is opposite angle cap b and line segment BC is adjacent to angle cap b .
3

Given right triangle XYZ , which correctly describes the locations of the sides in relation to angle cap y ?

A
A is adjacent, b is opposite, c is the hypotenuse
B
A is the hypotenuse, b is opposite, c is adjacent
C
A is adjacent, b is the hypotenuse, ​​​​​​​ c is opposite
D
A is opposite, b is adjacent, c is the hypotenuse
4

Which trigonometric ratios are correct for triangle ABC ? Choose three correct answers.

A
cosine of cap b is equal to the fraction with numerator square root of 2 and denominator 3
B
sine of cap c is equal to the fraction with numerator square root of 3 and denominator 2
C
tangent of cap b is equal to the fraction with numerator 2 square root of 3 and denominator 3
D
tangent of cap c is equal to square root of 3
E
sine of cap b is equal to 1 half
5

Which angle s is Julian describing?

A
angle cap h
B
angle cap g
C
angle cap k
D
angle cap h and angle cap k
7

Which trigonometric ratios are correct for triangle DEF ? Choose three correct answers.

A
sine of cap d is equal to 24 over 25
B
sine of cap e is equal to 7 over 25
C
cosine of cap e is equal to 7 over 25
D
tangent of cap d is equal to 7 over 24
E
tangent of cap d is equal to 24 sevenths
9

Given right triangle JKM , which correctly describes the locations of the sides in relation to angle cap j ?

A
A is the hypotenuse, b is opposite, c is adjacent
B
A is adjacent, b is opposite, c is the hypotenuse
C
A is the hypotenuse, b is adjacent, c is opposite
D
A is opposite, b is the hypotenuse, c is adjacent

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