Double Angle and Addition & Subtraction Identities

Use a double-angle identity to find the exact value of Sin 2θ

cos θ = 4/5 and 270° < θ < 360°

• 7/25

• 24/25

• -24/25

• -7/25

Find the exact value of sin 2x if sin x = 12/13 and x is in the first quadrant. 

• 120/169
• 25/169
• 60/169
• 5/13

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.C.9

Use the information about the angle θ, 0≤θ<2π to find the exact value of
sin (2θ)
1. sin θ= 3/5 , 0<θ<π/2

• 24/7
• 7/25
• 24/25
• 1/2

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.C.9

Use Sum or Difference Identities to find the exact value of each expression.

cos(75°)

• 1/4

• 
• 
• 

Tags

CCSS.HSF.TF.C.9

 $\cot\left(\theta\right)=-\frac{4}{3}$  and  $270\degree<\theta<360\degree$ . Find  $\sec\left(2\theta\right)$  

•  $-\frac{25}{24}$  

•  $\frac{25}{24}$  

•  $\frac{7}{24}$  

•  $\frac{25}{7}$  

Tags

CCSS.HSF.TF.C.8

 $\csc\theta=-\frac{\sqrt{13}}{2}$  and  $\pi<\theta<\frac{3\pi}{2}$ . Find  $\tan2\theta$  

•  $\frac{401\sqrt{465}}{7440}$  

•  $\frac{5}{12}$  

•  $\frac{7}{24}$  

•  $\frac{12}{5}$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.C.9

 $\cos70^o\cos40^o-\sin70^o\sin40^o\$  is equivalent to

•  $\cos30^o$  

•  $\cos70^{o\ }$  

•  $\cos110^o$  

•  $\sin70^{o\ }$  

Tags

CCSS.HSF.TF.C.9

If $\sin A=\frac{4}{5},\tan B=\frac{5}{12},$  and A and B are first quadrant angles, what is the value of  $\sin\left(A+B\right)$  ?

•  $\frac{63}{65}$  

•  $-\frac{33}{65}$  

•  $\frac{33}{65}$  

•  $-\frac{63}{65}$  

Tags

CCSS.HSF.TF.C.9

 $\sin96^o\cos24^o+\cos96^o\sin24^o\$  is equivalent to

•  $\sin120^o$  

•  $\sin72^{o\ }$  

•  $\cos120^o$  

•  $\cos72^o$  

Tags

CCSS.HSF.TF.C.9

If $\sin\theta=\frac{\sqrt{5}}{3}$  , then  $\cos2\theta$  equals

•  $\frac{1}{3}$  

•  $-\frac{1}{3}$  

•  $\frac{1}{9}$  

•  $-\frac{1}{9}$  

Tags

CCSS.HSF.TF.C.8