In which quadrant will the terminal side of (-850^\circ) lie?
Answer and explanation
Correct answer: Third quadrant
The given angle is negative. Add a multiple of 360° to find a coterminal angle: \(-850^\circ+3\times360^\circ=230^\circ\). Since \(180^\circ<230^\circ<270^\circ\), its terminal side lies in the third quadrant. The fourth quadrant contains angles between \(270^\circ\) and \(360^\circ\), so it is not correct. Exam tip: Reduce any angle to a value between \(0^\circ\) and \(360^\circ\) before identifying its quadrant.
Frequently asked questions
What is the correct answer to this question?
Third quadrant
Why is this the correct answer?
The given angle is negative. Add a multiple of 360° to find a coterminal angle: \(-850^\circ+3\times360^\circ=230^\circ\). Since \(180^\circ<230^\circ<270^\circ\), its terminal side lies in the third quadrant. The fourth quadrant contains angles between \(270^\circ\) and \(360^\circ\), so it is not correct. Exam tip: Reduce any angle to a value between \(0^\circ\) and \(360^\circ\) before identifying its quadrant.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
