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  • Equivalent Angles
quadrant

These are angles in different quadrants but with the same magnitude or value. They could be negative or positive, acute, obtuse, or reflex. For angles negative or greater than 360º, such angles are resolved by subtracting 360º when greater or adding 360º when it is negative.

Example 5.2.1:

Given the angles below:

(i). Decide the quadrant
(ii). Express its equivalent where applicable

(a) 288º
(b) -293º  
(c) 191º
(d) 167º
(e) 635º
(f) 490º
(g) -610º

Solution

(a.i) 288º – 4th quadrant

288 e1622493867258

(a.ii) 288º = -72º

72 e1622531849373

(b.i) This is less than 0º, so we add 360º

 

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