tan 40° + tan 80° - √3 tan 40° tan 80°
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Answer:
-√3
Step-by-step explanation:
tan (a+b) = tan a+ tan b/ 1-tan a+ tan b
120=80 +40
= tan 120=tan 80 +tan 40/1-tan80*tan 40
= -√3 = tan 80+tan 40/1-tan80*tan40
= -√3(1-tan 80*tan 40)= tan 80+tan 40
= -√3+√3 tan80*tan40= tan 80+ tan 40
= tan 80+ tan40-√3 tan 80-tan 40 = -√3
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