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lilavasa [31]
4 years ago
5

Prove: tan 70° = tan 20° + 2tan 50°

Mathematics
2 answers:
Natali5045456 [20]4 years ago
7 0
As we all know,
According to the trigonometric identity,
tan70=tan(20+50)
tan70=(tan20+tan50)/1-tan20tan50
tan70-tan20tan50tan70=tan20+tan50
Also tan70tan20=tan70cot70=1
Hence
tan70-tan50=tan20+tan50
So tan70=tan20+2tan50
Hope this helps :) :)
antiseptic1488 [7]4 years ago
5 0
<span>tan(70-20)=tan50
 tan70-tan20/1+tan20 tan70=tan50
 tan20 tan70=cot70 tan70=1
 tan70-tan20/2=tan50
 tan70-tan20=2tan50
 tan70=tan20+2tan50</span>
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