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

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+3 votes
15.9k views
in Mathematics by (130k points)

Evaluate:

tan 35° tan 40° tan 50° tan 55°

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1 Answer

+2 votes
by (93.8k points)
edited by
 
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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