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Find the exact value of the given expression using a sum or difference formula. 1) sin345° 2) cos(11π)/12

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1) sin(345) = sin(300+45)=sin(300)cos(45)+cos(300)sin(45)=(-sqrt(3)*sqrt(2))/(2*2) + (1*sqrt(2))/(2*2)=(-sqrt(6) + sqrt(2))/4
2) cos(11pi/12)=cos (2π/3 + π/4) = cos 2π/3 cos π/4 - sin 2π/3 sin π/4 =-½*(√(2)/2) - √(3)/2* (√(2)/2) = (-sqrt(2)-sqrt(6))/4
OK so I'm a little confused because my answer choices for #1 are: a.(√(3)+1)/(2√(2)) b.(√(3)-1)/(2√(2)) c.(-√(3)+1)/(2√(2)) d.(-√(3)-1)/(2√(2))

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Other answers:

Just factor out a sqrt(2) from my answer, and you should be able to find the right choice. :D
oh ok thanks
so it would be c then right?
sweet! Gracias Senor!
No problem. I'd appreciate it if you fanned me. :D
Sure can do! Now your answer with three out of the same choice of answers doesn't match up though.. I don't think....
I mean with number 2....
What are your choices?
same as the choices for #1...
Factor out a sqrt(2). The answer would be d.
Ohhhh I gotcha now lol sorry about that
Haha np.

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