Question

3secA-2cosB=√3. and A=30 than find cos(A-B). answer is not 1

Answer 1

Hey dear here is ur answer *******
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3sec30°-2cosB=√3

or,(3×2÷√3)-2cosB=√3

or,2√3-2cosB=√3

or,2cosB=√3

or,cosB=√3/2

or,cosB=cos30°

or,B=30°

Now,
cos(A-B)

=cosA×cosB+sinA×sinB

=cos30°cos30°+sin30°×sin30°

=√3/2×√3/2+1/2×1/2

=3/4+1/4

=1

So,ur answer is 1

Hope it will help u@@@@####