Q. 343.5( 4 Votes )

# The value of tan 1° tan 2° tan 3°… tan 89° is

A. 0

B. 1

C. 1/2

D. Not defined

Answer :

tan 1° tan 2° tan 3°… tan 89°

= tan 1° tan 2° … tan 45° tan (90-44°) tan(90-43°)…tan (90-1°)

= tan 1°tan 2° … tan 45°cot 44°cot 43°…cot 1° [∵tan (90-θ)=cot θ]

= tan 1° cot 1° tan 2° cot 2°…tan45°… tan 89° cot 89°

=1.1….1 = 1

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