what is tan inverse of a-b
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Answer:
cot( a-b)
Step-by-step explanation:
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Answer:
You can write tan(x)=sin(x)/cos(x).
Hence you can write tan(A-B)=sin(A-B)/cos(A-B)
Now you can substitute sin(A-B)= sinA cosB-cosA sinB
cos(A-B)= cosA cosB+sinA sinB.
Hence, you get tan(A-B)= sinA cosB-cosA sinB/cosA cosB+sinA sinB
Divide the numerator and denominator by same factor cosA cosB. (Hence, it'll not change the result.)
therefore the equation changes into the desired formula,
tan(A-B)= tanA-tanB/1+tanA tanB
Step-by-step explanation:
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