i) Prove that Tan 70º – Tan20° = 2 Tan 50
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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 :) :) ..
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