Trigonometric Ratios Answers

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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 4.

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option C
D
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
Option D
2
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Which trigonometric ratios are correct for triangle ABC? Select three options.

A
sin(C) =
Option A
B
cos(B) =
Option B
C
tan(C) =
Option C
D
sin(B) =
Option D
E
tan(B) =
Option E
4

Which trigonometric ratios are correct for triangle DEF? Select three options.

A
sin(D) =
Option A
B
cos(E) =
Option B
C
tan(D) =
Option C
D
sin(E) =
Option D
E
tan(D) =
Option E

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