tan(alpha+beta)=tan alpha+tan beta/1-tan alpha tan beta
tan(alpha-beta)=tan alpha-tan beta/1+tan alpha tan beta
EXAMPLE
Find the exact value of the given expression:
tan 2pi/3+tan pi/12/1-tan 2pi/3 tan pi/12
tan 2pi/3+tan pi/12/1-tan 2pi/3 tan pi/12
First plug it into the equation (:
tan (2pi/3 + pi/12)
Converting to degrees is a good idea.
tan (270 degrees + 15 degrees)=tan 285 degrees
REFERENCE ANGLE TIME.
tan 285-360=-tan(45 degrees)
LOOK AT YOUR TRIG CHART, BUT YOU REALLY SHOULDN'T LOOK BECAUSE YOU SHOULD KNOW IT AND IF YOU DON'T YOU SHOULD BE ASHAMED OF YOURSELF.
final answer= -1
THAT'S HOW YOU DO THAT AND EVERYONE DESERVES A COOKIE :D
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