Question : Find the value of $\tan (–1125°)$.
Option 1: $1$
Option 2: $\frac{1}{2}$
Option 3: $–1$
Option 4: $0$
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Answer (1)
25th Jan, 2024
Correct Answer: $–1$
Solution :
The angle $1125°$ is co-terminal to the $45°$ angle and also tangent is a periodic function.
So, $\tan 1125°= \tan (6\times 180°+45°) = \tan 45°=1$
$\therefore \tan (–1125°) = – \tan 1125° = –1$
Hence, the correct answer is –1.
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