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Prove that, tan70 =tan20+2tan50 2 . Prove that, (sinX) 3 × sin3X +(cosX) 3 × cos3X =(cos2X) 3 Prove that, tan70 =tan20+2tan50 2 . Prove that,(sinX)3 × sin3X +(cosX)3 × cos3X =(cos2X)3
According to the trigonometric identity,tan70=tan(20+50)tan70=(tan20+tan50)/1-tan20tan50tan70-tan20tan50tan70=tan20+tan50Also tan70tan20=tan70cot70=1Hencetan70-tan50=tan20+tan50So tan70=tan20+2tan50
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