Mathematics: Which trigonometric ratios are correct for triangle xyz? check all that apply. tan(y) = 15 cos(x) = 17 tan(x) = sin(y) = cos(y) = 1;

The answer should be the first one since it is length times width So 4 multiply x(unknown number)...

Which trigonometric ratios are correct for triangle

Ответ:

mrylenastewart

14.01.2022

Mathematics

$tan(Y)=\frac{8}{15}$

$tan(X)=\frac{15}{8}$

$sin(Y)=\frac{8}{17}$

Step-by-step explanation:

The complete question in the attached figure

Verify each case

Part 1) tan(Y)

we know that

The tangent of angle Y is equal to divide the opposite side angle Y by the adjacent side to angle Y

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

substitute the given values

$tan(Y)=\frac{8}{15}$

Part 2) cos(X)

we know that

The cosine of angle X is equal to divide the adjacent side angle X by the hypotenuse

$cos(X)=\frac{XZ}{XY}$

substitute the given values

$cos(X)=\frac{8}{17}$

Part 3) tan(X)

we know that

The tangent of angle X is equal to divide the opposite side angle X by the adjacent side to angle X

$tan(X)=\frac{YZ}{XZ}$

substitute the given values

$tan(X)=\frac{15}{8}$

Part 4) sin(Y)

we know that

The sine of angle Y is equal to divide the opposite side angle Y by the hypotenuse

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

substitute the given values

$sin(Y)=\frac{8}{17}$

Part 5) cos(Y)

we know that

The cosine of angle Y is equal to divide the adjacent side angle Y by the hypotenuse

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

substitute the given values

$cos(Y)=\frac{15}{17}$

Which trigonometric ratios are correct for triangle xyz? check all that apply. tan(y) = 15 cos(x) =

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Which trigonometric ratios are correct for triangle xyz?
check all that apply.
tan(y) = 15
cos(x) = 17
tan(x) =
sin(y) =
cos(y) = 1;

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