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Question

cos (A - B) = cos A cos B + sin A sin B
If true then write 1 and if false then write 0

Solution
Verified by Toppr

Given, A=60 and B=30
Now, cos(AB)=cosAcosB+sinAsinB
L.H.S : cos(AB)=cos(600300)=cos300=32
R.H.S: cosAcosB+sinAsinB=cos600cos300+sin600sin300
= (12)(32)+(32)(12)
= 34+34
= 32
LHS=RHS
cos(AB)=cosAcosB+sinAsinB

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