SOLUTION: Use the angle sum or difference identity to find the exact value of cos195 csc5pi/12

Algebra.Com
Question 166485: Use the angle sum or difference identity to find the exact value of
cos195

csc5pi/12

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Use the angle sum or difference identity to find the exact value of
cos195

You have to figure out a way to make 195° using 
the sum or difference of two special angles from this list:

30°, 45°, 60°, 90°, 120°, 135°, 150°, 180°, 210°, 
225°, 240°, 270°, 300°, 315°, 330°.

You can write 195° as any one of these:

150°+45°, 135°+60°, 225°-30°, 240°-45°, 315°-120°, 330°-135°

If you choose to use the first one, 150°+45°, you then use



=







--------------------------------



Let's convert that to degrees:

°

Then we can write 75° as 30°+45°

=

Then we can use the identity: 

=

=

=

=





Rationalize the denominator:



Indicate multiplication of numerators and denominators:



Multiply out the bottom:

=

=

=

=

=
Move the negative sign out front, and cancel the 4's

=







Edwin


RELATED QUESTIONS

Use sum or difference identity to find the exact value of tan 105... (answered by lwsshak3)
The problem is asking me to use the angle sum or difference identity to find the exact... (answered by lwsshak3)
Find the exact value of tan 300 degrees. Use the sum or difference... (answered by mathmate,ikleyn)
usa a sum or difference identity to find the exact value of the expression... (answered by Edwin McCravy)
Use a sum or difference identity to find the exact value for the sine, cosine and tangent (answered by CubeyThePenguin)
Use a sum or difference formula to find the exact value of cot... (answered by lwsshak3)
Use the half-angle identity to find the exact value of... (answered by stanbon)
Use half-angle identity to find the exact value of... (answered by solver91311)
Use a half angle identity to find the exact value of... (answered by stanbon)