If \( \theta=765^\circ \), where is the terminal side of \( \theta \)?
Answer and explanation
Correct answer: First quadrant
Subtracting one full revolution, \(765^\circ-720^\circ=45^\circ\). Since \(45^\circ\) lies between \(0^\circ\) and \(90^\circ\), the terminal side is in the first quadrant. The positive \(y\)-axis would require an angle of \(90^\circ\), or a coterminal angle. Exam tip: reduce any angle by multiples of \(360^\circ\) before identifying its quadrant or axis.
Frequently asked questions
What is the correct answer to this question?
First quadrant
Why is this the correct answer?
Subtracting one full revolution, \(765^\circ-720^\circ=45^\circ\). Since \(45^\circ\) lies between \(0^\circ\) and \(90^\circ\), the terminal side is in the first quadrant. The positive \(y\)-axis would require an angle of \(90^\circ\), or a coterminal angle. Exam tip: reduce any angle by multiples of \(360^\circ\) before identifying its quadrant or axis.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
