6-8 Wed Lesson

6-8 Wed Lesson

Multiple Choice

The exact Cos(30^o)=

• 1

• 1/2

• (√3)/2

• (√2)/2

Multiple Choice

The exact Sin(30^o)=

• 
  

  $\frac{\sqrt{2}}{2}$

• 1/2

• 1

• $\frac{\sqrt{3}}{2}$

Multiple Choice

The exact Cos(0^o)=

• 1

• 0

• -1

• 1/2

Multiple Choice

The exact Sin(60°)

• $0$

• $1$

• $\frac{\sqrt{3}}{2}$

• $\frac{1}{2}$

Multiple Choice

Find the exact value of x

• 
  

  $\frac{30\sqrt{3}}{2}$
  

• 15

• 60

• $15\sqrt{3}$

•  $Cos30\ =\ \frac{x}{30}$  

•  $\frac{\sqrt{3}}{2}=\frac{x}{30}$  

•  $2x=30\sqrt{3}$  

•  $x=15\sqrt{3}$  

Multiple Choice

Find the exact value of x

• $6\sqrt{2}$

• $3\sqrt{2}$

• $\frac{\sqrt{2}}{3}$

• $6$

•  $Cos45\ =\ \frac{6}{x}$  

•  $\frac{\sqrt{2}}{2}=\frac{6}{x}$  

•  $x\sqrt{2}=12$  

•  $\frac{\left(x\sqrt{2}\right)}{\sqrt{2}}=\frac{12}{\sqrt{2}}$  

•  $x=\frac{12}{\sqrt{2}}$  

•  $\frac{12}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}=\frac{12\sqrt{2}}{2}=6\sqrt{2}$  

Multiple Choice

Find XY to the nearest tenth.

• 8.2
  

• 11.7

• 12.3

• Cannot be determined

 $Note:\ m\angle X\ =\ 96\degree$   

•  $\frac{15}{Sin96}=\frac{Z}{Sin51}$  

•  $Z=\frac{15Sin51}{Sin96}$  

•  $Z=11.7$  

Multiple Choice

Given the following, find angle N to the nearest degree.

 $m\angle L\ =\ 56\degree$  

•  $48\degree$  

•  $39\degree$  

•  $41\degree$  

•  $42\degree$  

•  $\frac{n}{SinN}=\frac{l}{SinL}$  

•  $\frac{39}{SinN}=\frac{48}{Sin56}$  

•  $SinN=\frac{39Sin56}{48}$  

•  $SinN=.6735...$  

•  $Sin^{-1}\left(SinN\right)=Sin^{-1}\left(.6735...\right)$  

•  $N=42\degree$