Angle Sum and Difference Trig Identities

How could you break up sin(π/12°) to use the sum or difference formulas and the unit circle?

• sin(π-11π/12)

• sin(π)-sin(11π/12)

• sin(π/3-π/4)

• sin(π/3)-sin(π/4)

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.9

How could you break up tan(75°) to use the sum or difference formulas and the unit circle?

• tan(70°+5°)

• tan(30°+45°)

• tan(30°)+tan(45°)

• tan(70°)+tan(5°)

Tags

CCSS.HSF.TF.C.9

Using the sum and difference formulas, condense into a single trig function:  $\cos\left(46°\right)\cos\left(14°\right)+\sin\left(46°\right)\sin\left(14°\right)$  

• cos(32°)

• cos(60°)

• sin(32°)

• sin(60°)

Tags

CCSS.HSF.TF.C.9

Using the sum and difference formulas, condense into a single trig function:  $\sin\left(23°\right)\cos\left(17°\right)+\cos\left(23°\right)\sin\left(17°\right)$  

• cos(6°)

• cos(40°)

• sin(6°)

• sin(40°)

Tags

CCSS.HSF.TF.C.9

sin 105º

• $\frac{\sqrt{3}}{2}$

• $\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$

• $\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{4}$

• $2-\frac{\sqrt{3}}{2}$
  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.9

Find the exact value of the expression.

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

• $\frac{1}{4}$

• $\frac{1}{2}$
  

• $\frac{\sqrt{3}}{2}$

• $\sqrt{3}$

Tags

CCSS.HSF.TF.C.9

 $\tan\left(-15\degree\right)$  

•  $2-\sqrt{3}$  

•  $2+\sqrt{3}$  
  

•  $\sqrt{3}-2$  

•  $\sqrt{3}$  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.9