Which angle is a positive coterminal angle of (-40^\circ)?
Answer and explanation
Correct answer: 320^\circ
Coterminal angles differ by an integral multiple of 360^\circ. Adding 360^\circ to -40^\circ gives \((-40^\circ+360^\circ)=320^\circ\), which is positive. In contrast, 340^\circ differs from -40^\circ by 380^\circ, not a multiple of 360^\circ. Exam tip: To find the least positive coterminal angle of a negative angle, add 360^\circ.
Frequently asked questions
What is the correct answer to this question?
320^\circ
Why is this the correct answer?
Coterminal angles differ by an integral multiple of 360^\circ. Adding 360^\circ to -40^\circ gives \((-40^\circ+360^\circ)=320^\circ\), which is positive. In contrast, 340^\circ differs from -40^\circ by 380^\circ, not a multiple of 360^\circ. Exam tip: To find the least positive coterminal angle of a negative angle, add 360^\circ.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
