What is the least positive coterminal angle of (-1025^\circ)?
Answer and explanation
Correct answer: 55°
Coterminal angles differ by an integral multiple of 360°. \(-1025^\circ+3\times360^\circ=-1025^\circ+1080^\circ=55^\circ\). Therefore, the least positive coterminal angle is 55°. Choosing 45° or 65° would not give a difference that is a whole multiple of 360°. Exam tip: For a negative angle, keep adding 360° until the result lies between 0° and 360°.
Frequently asked questions
What is the correct answer to this question?
55°
Why is this the correct answer?
Coterminal angles differ by an integral multiple of 360°. \(-1025^\circ+3\times360^\circ=-1025^\circ+1080^\circ=55^\circ\). Therefore, the least positive coterminal angle is 55°. Choosing 45° or 65° would not give a difference that is a whole multiple of 360°. Exam tip: For a negative angle, keep adding 360° until the result lies between 0° and 360°.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
