Question : Find the value of $\tan (–1125°)$.

Option 1: $1$

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

Option 3: $–1$

Option 4: $0$


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 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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