$4$:$48$ PM Tue Jan $16$

$[$Due this Friday, Jan $19$ at $11$:$59$ pm $($EST$)$

There are three trigonometric functions that we will be commonly using. These are the sine$,$ the cosine and the tangent functions. These functions relate an angle to the ratio of the lengths of two sides of a right triangle.

Each function is related to a different pair of sides. You may remember from your algebra class the mnemonic SOH CAH$-$TOA: Sine is Opposite over Hypotenuse opp$/$hyp$),$ Cosine is Adjacent over Hypotenuse $)=(ad\frac{j}{h}yp,$ and Tangent is Opposite over Adjacent $)=(op\frac{p}{a}dj.$

Given the length of one side and one angle of a right triangle $($in addition to the right angle$),$ you can determine the lengths of the other two sides using the trigonometric functions. Likewise, given the length of two sides, you can find the angle by using the inverse trigonometric functions $($for example, $=si{n}^{-1}($opp$/$hyp$)).$

The sides of the triangle shown above are labeled $x,Y$ and $Z.$ Two of the angles are labeled as $($lowercase Greek theta$)$ and $($lowercase Greek phi$).$

How would you label each of the sides with regards to the angle $?$

Opposite: Side $Y$

Hypotenuse: Side $Z$

Adjacent: Side $x$

You are correct.

Your receipt no$.$ is $157-1932(3)$ Previous Tries

How would you label each of the sides with regards to the angle $?$

Hypotenuse: Side $Z$

Adjacent: Side $Y$

Opposite: Side X

You are correct.

Your receipt no$.$ is $157-8912(2)$ Previous Tries

If the length of side $Z$ is $9\mathrm{.}00m$ and angle $$ is $21\mathrm{.}7,$ what is the length of side $Y?$

$3\mathrm{.}33m$

You are correct.

Your receipt no$.$ is $157-3446(3)$ Previous Tries

If the length of side $Z$ is $6\mathrm{.}00m$ and angle $$ is $35\mathrm{.}4,$ what is the length of side $x?$

$4\mathrm{.}89m$

You are correct.

Your receipt no$.$ is $157-8873(3)$ Previous Tries

If the length of side $x$ is $8\mathrm{.}36m$ and the length of side $Y$ is $3\mathrm{.}33,$ what is the angle $$ in degrees? $($Do not enter units.$)$

Tries $5/10$ Previous Tries

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