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Prove that tanA.tan(60+A)+tan(60+A)tan(60-A) +tan(60-A)tanA=-3

Prove that 
tanA.tan(60+A)+tan(60+A)tan(60-A)
                      +tan(60-A)tanA=-3

Grade:12

1 Answers

Lab Bhattacharjee
121 Points
6 years ago
\text{HINT : Use } \tan\{(60^\circ+A)-A\} \\ \tan\{A+(60^\circ-A)\} \\ \tan\{(60^\circ+A)+(60^\circ-A)\}

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