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Simplify sin(105) + cos(105).  (All angles are in degrees.)

 Dec 17, 2019
 #1
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sin (60 + 45)   + cos (60 + 45)       =      do you remember angle sum trig identities?

 Dec 17, 2019
edited by ElectricPavlov  Dec 17, 2019
edited by ElectricPavlov  Dec 17, 2019
 #2
avatar+19789 
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Sin (A+B) = SInA CosB + sinB Cos A

and

Cos(A+B) = cos A Cos B  -  Sin A Sin B

 

So the first  1/2 would be

 sqrt3/2 * sqrt2/2  +  sqrt2/2 * 1/2  

 

        to this you would add the  Cos (A+B) part

ElectricPavlov  Dec 17, 2019
edited by ElectricPavlov  Dec 17, 2019

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