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Question : The value of $(\tan35° \tan45° \tan55°)$ is:

Option 1: $\frac{1}{2}$

Option 2: $2$

Option 3: $0$

Option 4: $1$


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: $1$


Solution : Given:
$\tan35° \tan 45° \tan55°$
= $\tan 35° \tan 45° \tan (90-35)°$
= $\tan 35° \tan 45° \cot 35°$
= $\tan 35° \tan 45° \frac{1}{\tan 35°}$
= $\tan 45°$
= $1$
Hence, the correct answer is $1$

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