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Evaluate: tan 35° tan 40° tan 50° tan 55°

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asked Feb 16, 2018 in Mathematics by sforrest072 (157,439 points) ● 63 ● 447 ● 1247

Evaluate:

tan 35° tan 40° tan 50° tan 55°

1 Answer

+1 vote
answered Feb 16, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 21
edited Mar 6, 2018 by faiz
 
Best answer

tan 35° = tan (90° - 55°) = cot 55°
tan 40° = tan (90° - 50°) = cot 50°

Cot 55 tan 55∙ cot 50 tan 50
=1 ∙ 1  

= 1

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