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Question : The value of $\tan10°\tan15°\tan75°\tan80°$ is:

Option 1: 0

Option 2: 1

Option 3:  –1

Option 4: 2


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 10th Jan, 2024

Correct Answer: 1


Solution : $\tan10°\tan15°\tan75°\tan80°$
$= \tan10°\tan15°\tan(90°-15°)\tan(90°-10°)$
$= \tan10°\tan15°\cot15°\cot10°$
$=1$
Hence, the correct answer is 1.

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