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Question

Given A=600 and B=300, then
cos(AB)=cosAcosB+sinAsinB
If true or false:

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Solution

Given, A=60 and B=30
Now, cos(AB)=cosAcosB+sinAsinB
L.H.S : cos(AB)=cos(6030)=cos30=32
R.H.S: cosAcosB+sinAsinB=cos60cos30+sin60sin30
= (12)(32)+(32)(12)
= 34+34
= 32

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