Question

tan10 degree.tan45 degree.tan80 degree​

Answer 1

Answer:

1 ( Yeah! Its only one )

Step-by-step explanation:

tan θ = cot ( 90 - θ )

Thus tan 10 = cot ( 90 - 10 ) = cot 80

Thus,

tan 10 . tan 45 . tan 80

  = cot 80 . tan 45 . tan 80

  = cot 80 × tan 80 × 1         (∵  tan 45 = 1 )

  = 1         ( tan θ × cot θ = 1 )

Thus, the answer is unity!!

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Answer 2

Hi !

Solution :-

from LHS

Tan10° tan45° tan80°

tan (90° - 80°) tan45° tan80°

cot80° tan80° tan45°

1 * 1 = 1

Formula used , tan(90° -¢) = cot¢ ,

tan¢* cot¢ = 1

tan45° = 1

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Hope it's helpful