CCSS.Math.Content.HSF.TF.C.9

What is the value of sin210^ocos30^o - cos210^osin30^o is

• 0
• -1
• 1
• sin240^o

Tags

CCSS.Math.Content.HSF.TF.C.9

Find the exact value.
cos (5π/18 - π/9)

• √(3)/2
• 1/4
• 1/2
• 1

Tags

CCSS.Math.Content.HSF.TF.C.9

Given that sin α = ½ and cos β = ½, then the value of α + β is ______

• 90°
• 60°
• 30°
• 0°

Tags

CCSS.Math.Content.HSF.TF.C.9

Which of the following would be a step to prove the following identity?

• (1/ sin x) - (1 / cos x)

• (cos x - sin x) / ( sin x)

• (cos x - sin x) / (cos x)

• (1/ sin x cos x)

Tags

CCSS.Math.Content.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.Math.Content.HSF.TF.C.9

Sin2x = ...

• sinxcosx

• 2sinxcosx

• 1-2sin²x

• 1-2cos²x

Tags

CCSS.Math.Content.HSF.TF.C.9

Which of the following is false?

•  $\sin\left(a+b\right)=\sin a\cos b-\cos a\sin b$  

•  $\cos\left(a-b\right)=\cos a\cos b+\sin a\sin b$  

•  $\tan\left(a+b\right)=\frac{\tan a+\tan b}{1-\tan a\tan b}$  

•  $\tan\left(a-b\right)=\frac{\tan a-\tan b}{1+\tan a\tan b}$  

Tags

CCSS.Math.Content.HSF.TF.C.9

Which of the following is equivalent to  $\tan\ \left(A-B\right)$  

•  $\tan\ A\ -\ \tan\ B$  

•  $\frac{\tan\ A\ -\tan\ B}{1+\ \tan A\tan B}$  

•  $\frac{\tan\ A\ +\tan\ B}{1-\ \tan A\tan B}$  

•  $\frac{\sin\ A}{\cos\ B}$  

Tags

CCSS.Math.Content.HSF.TF.C.9

Expand  $\sin\ \left(33^{o\ }+42^o\right)$  

•  $\sin\ 75^{o\ }$  

•  $\sin\ 33^o\cos42^o+\cos33^o\sin42^o$  

•  $\sin\ 33^o\cos42^o-\cos33^o\sin42^o$  

•  $\cos33^o\cos42^o+\sin33^o\sin42^o$  

Tags

CCSS.Math.Content.HSF.TF.C.9

Expand  $\sin\ \left(33^{o\ }+42^o\right)$  

•  $\sin\ 75^{o\ }$  

•  $\sin\ 33^o\cos42^o+\cos33^o\sin42^o$  

•  $\sin\ 33^o\cos42^o-\cos33^o\sin42^o$  

•  $\cos33^o\cos42^o+\sin33^o\sin42^o$  

Tags

CCSS.Math.Content.HSF.TF.C.9