April W1:Solving Trig Functions and Law of Sines

Which of the following is the same as  $\cos\ \left(A+B\right)$  

•  $\sin A\cos\ B\ +\ \cos\ A\ \sin\ B$  

•  $\sin\ A\ \cos\ B\ -\ \cos\ A\ \sin\ B$  

•  $\cos\ A\ \cos\ B\ +\ \sin\ A\ \sin\ B$  

•  $\cos\ A\ \cos\ B\ -\ \sin\ A\ \sin\ B$  

Tags

CCSS.HSG.SRT.C.7

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.HSG.SRT.C.7

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.HSG.SRT.C.7

 $\cos75^o\cos15^o-\sin75^{o\ }\sin15^o$  is equivalent to

•  $\sin\ 90^{o\ }$  

•  $\sin\ 60^{o\ }$  

•  $\cos\ 90^{o\ }$  

•  $\cos\ 60^{o\ }$  

Tags

CCSS.HSF.TF.C.9

Find the exact value of the expression.

cos(20)cos(40) - sin(20)sin(40)

• 1/4

• 1/2

• √(3)/2

• √(3)

sinx =...

• cos(90 - x)

• cos(180 - x)

• sin(90 - x)

• sin(180 - x)

Find the cofunction of 
csc(25^o)

• sec(25^o)
• sec(65^o)
• csc(65^o)
• sin(25^o)

Tags

CCSS.HSG.SRT.C.7

Find the cofunction of 
sin(42^o)=

• cos(42^o)
• cos(48^o)
• csc(48^o)
• csc(42^o)

Tags

CCSS.HSG.SRT.C.7

Please solve on the interval 0≤θ≤2π
2 sin ² θ - 1 = 0

• θ={ 0, π/2, π, 3π/2, 2π }
• θ={ π/4, 3π/4 , 5π/4 , 7π/4 }
• θ={ 0, π , 2π }
• θ={ π/3, 5π/3 }

Tags

CCSS.HSF.TF.B.7

Please solve on the interval 0≤θ≤2π
tan (2θ) = 0

• θ={ 0, π/2, π, 3π/2, 2π }
• θ={ π/4, 3π/4 , 5π/4 , 7π/4 }
• θ={ 0, π , 2π }
• θ={ π/3, 5π/3 }

Tags

CCSS.HSF.TF.B.7