Math, asked by shubham2151994, 7 months ago

tan 1°×tan2°×tan3°×.................tan45°×tan46°×........................tan87°×tan88°×tan89°=?
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Answers

Answered by aastikbansal15
0

tan 45 = 1

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Answered by dheerukumarambani200
0

Answer:

tan 1°= tan(90-89) =cot 89°

tan 2°= tan(90-88) =cot 88°

tan 3°= tan(90-87) =cot 87°

tan 45°=1

now,

tan 1°×tan 2°×tan 3°×.....tan 45°×tan 46°×.............tan 87°× tan 88°× tan 89°

=cot 89× cot 88°× cot 87°×.........tan 87°×tan 88°×tan 89°=1 (cot thetha×tan thetha=1)

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