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Prove That tan70-tan20=2tan50 Ans I need plz help me

Prove That  tan70-tan20=2tan50 Ans I need plz help me 
 

Grade:10

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
tan70=(tan20+tan50)/1-tan20tan50
tan70-tan20tan50tan70=tan20+tan50
Also tan70tan20=tan70cot70=1

tan70-tan50=tan20+tan50
So tan70=tan20+2tan50
Arun
25750 Points
5 years ago
"According to the trigonometric identity,
tan70 = tan (20 + 50)
tan70= (tan20 + tan50) / 1-tan20 tan50
Tan70 - tan20 tan50 tan70= tan20 + tan50
Also tan70 tan20 = tan70 cot70 = 1
Hence, it will change to following equation 
tan70 - tan50 = tan20 + tan50
So tan70 = tan20 + 2tan50
 
Regards
Arun (askIITians forum expert)

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