9.5 Using Trig Ratios to Solve for Missing Angles - 2020

We can use the ratios for sine, cosine, and tangent for...

• Any triangle ever

• Non-right triangles only

• Right Triangles only

• Never

Tags

CCSS.HSG.SRT.C.7

What is the ratio for Sine?

• $\frac{hypotenuse}{opposite}$

• $\frac{opposite}{hypotenuse}$

• $\frac{adjacent}{hypotenuse}$

• $\frac{adjacent}{opposite}$

Tags

CCSS.HSG.SRT.C.6

To use the Pythagorean Theorem, we need...

• A triangle with 2 known angles
• A right triangle with 2 known angles
• A triangle with 2 known sides
• A right triangle with 2 known sides

Tags

CCSS.8.G.B.8

What is the ratio for Cosine?

•  $\frac{hypotenuse}{adjacent}$ 

• $\frac{opposite}{hypotenuse}$

• $\frac{adjacent}{hypotenuse}$

• $\frac{adjacent}{opposite}$

Tags

CCSS.HSG.SRT.C.6

What is the ratio for Tangent?

•  $\frac{opposite}{adjacent}$ 

• $\frac{opposite}{hypotenuse}$

• $\frac{adjacent}{hypotenuse}$

• $\frac{adjacent}{opposite}$

Tags

CCSS.HSG.SRT.C.6

Find the measure of  $\theta$  .  Round to the nearest degree.

 $\tan\left(\theta\right)=2.0503$  

•  $64\degree$ 

•  $0\degree$  

•  $1\degree$  

•  $78\degree$  

Tags

CCSS.HSG.SRT.C.8

Find the measure of  $\theta$  .  Round to the nearest degree.

 $\cos\left(\theta\right)=0.1219$  

•  $83\degree$ 

•  $7\degree$  

•  $1\degree$  

•  $89\degree$  

Tags

CCSS.HSG.SRT.C.8

Find the measure of  $\theta$  .  Round to the nearest degree.

 $\sin\left(\theta\right)=0.2756$  

•  $16\degree$ 

•  $74\degree\text{}$  

•  $0\degree$  

•  $15\degree$  

Tags

CCSS.HSG.SRT.C.8

Which of the following ratios would allow you to solve for the angle indicated by the "?" ?

• $\tan\left(?\right)=\frac{51}{55}$

• $\sin\left(?\right)=\frac{51}{55}$

• $\cos\left(?\right)=\frac{51}{53}$

• $\sin\left(?\right)=\frac{55}{51}$

Tags

CCSS.HSG.SRT.C.6

Which of the following ratios would allow you to solve for the angle indicated by the "?" ?

• $\tan\left(?\right)=\frac{29}{38}$

• $\sin\left(?\right)=\frac{29}{38}$

• $\cos\left(?\right)=\frac{38}{29}$

• $\tan\left(?\right)=\frac{38}{29}$

Tags

CCSS.HSG.SRT.C.6