Question

Consider △XYZ Triangle X Y Z is shown. Angle X Z Y is a right angle. What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction sin(Y) = StartFraction Y Z Over X Y EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction

Answer 1

Answer:

$\sin Y= \frac{XZ}{XY}$

$\cos Y= \frac{YZ}{XY}$

$\tan Y= \frac{XZ}{YZ}$

Step-by-step explanation:

Given

See attachment for triangle

Required

Find $\sin, \cos$ and $\tan$ of angle Y

For angle Y:

$Opposite = XZ$

$Adjacent = YZ$

$Hypotenuse = XY$

The $\sin$ of an angle is calculated as:

$\sin\theta = \frac{Opposite}{Hypotenuse}$

So:

$\sin Y= \frac{XZ}{XY}$

The $\cos$ of an angle is calculated as:

$\cos\theta = \frac{Adjacent}{Hypotenuse}$

So:

$\cos Y= \frac{YZ}{XY}$

The $\tan$ of an angle is calculated as:

$\tan\theta = \frac{Opposite}{Adjacent}$

So:

$\tan Y= \frac{XZ}{YZ}$

Answer 2

Answer:

C, short answer

Step-by-step explanation:

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