Prove that tan13A - TAN 9A- TAN4A= TAN 13A•TAN9A•TAN4A

Asked by amankumarj7371 | 9th Jan, 2020, 09:04: PM

Expert Answer:

To prove that: tan13A - tan9A - tan4A = tan13A tan9A tan4A
tan 13 A equals tan open parentheses 9 A plus 4 A close parentheses equals fraction numerator tan 9 A plus tan 4 A over denominator 1 minus tan 9 A times tan 4 A end fraction
rightwards double arrow tan 13 A open parentheses 1 minus tan 9 A times tan 4 A close parentheses equals tan 9 A plus tan 4 A
rightwards double arrow tan 13 A minus tan 13 A times tan 9 A times tan 4 A equals tan 9 A plus tan 4 A
rightwards double arrow tan 13 A minus tan 9 A minus tan 4 A equals tan 13 A times tan 9 A times tan 4 A

Answered by Renu Varma | 10th Jan, 2020, 09:59: AM