Math, asked by amrua454, 9 months ago

The value of tan1°.tan2°.tan3°.......tan89° is

Answers

Answered by Hemalathajothimani
17

Step-by-step explanation:

tan1°tan2°tan3°.........tan89°=tan(90°-89°)tan(90°-88°)tan(90°-87°)...............tan(90°-46°)tan45°tan46°.....tan89°

= cot89°cot88°cot87°..........cot46°tan45°tan46°......tan89° [by using identity tan(90°-A)= cotA]

=1tan89°×1tan88°×.........1tan46°×tan45°×tan46°×......tan88°×tan89°

= tan45° =1

Answered by Anonymous
14

Answer:

tan45°=1

Step-by-step explanation:

hope it's helpful

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