Question : The value of $(\tan35° \tan45° \tan55°)$ is:
Option 1: $\frac{1}{2}$
Option 2: $2$
Option 3: $0$
Option 4: $1$
Answer (1)
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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