Quiz: Basic Trigonometry

The longest side of a right triangle is called the what?

Answer explanation

The longest side of a right triangle is called the hypotenuse

Choose all of the correct trigonometric ratios

• $\sin\left(\theta\right)=\ \frac{opposite}{hypotenuse}$

• $\cos\left(\theta\right)=\frac{opposite}{hypotenuse}$

• $\tan\left(\theta\right)=\frac{adjacent}{opposite}$

• $\tan\left(\theta\right)\ =\ \frac{opposite}{adjacent}$

The tangent ratio is the ratio of the opposite divided by the what?

Answer explanation

Use the memory device (mnemonic) SOH-CAH-TOA to help you remember!

The ratio in a right triangle of adjacent to hypotenuse is what?

Answer explanation

SOH-CAH-TOA

What does this symbol represent? Choose all that apply.

 $\theta$  

• theta

• An angle

• A side

• Zero, but fancy!

 $\tan\left(\angle E\right)=\$  ? 

•  $\frac{5}{3}$  

•  $\frac{3}{5}$  

•  $\frac{4}{3}$  

•  $\frac{3}{4}$  

Answer explanation

Tangent is the ratio of the opposite to the adjacent.

 $\sin\left(\angle E\right)=\$  ? 

•  $\frac{5}{3}$  

•  $\frac{3}{5}$  

•  $\frac{4}{3}$  

•  $\frac{3}{4}$  

Answer explanation

Sine is the ratio of the opposite to the hypotenuse.

 $\sin\left(\angle D\right)=\$  ? 

•  $\frac{4}{3}$  

•  $\frac{5}{3}$  

•  $\frac{4}{5}$  

•  $\frac{3}{4}$  

Answer explanation

Sine is the ratio of the opposite to the hypotenuse.