8. 1 angles in standard position
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Two or more angles are coterminal if they have the same terminal side position. Any coterminal angle can be represented by the expression θ + n(360), where θ is the reference angle and n is an integer. The reference angle is the acute angle formed between the terminal side and the x-axis, and is always between 0 and 180 degrees.
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8. 1 angles in standard position
- 2. P (x,y) θ Terminal side Initial side A (r,0)
- 3. What are coterminal angles?
- 4. Remember! Two or more angles in standard position are coterminal angles if the position of P is the same for each angle. If θ represents any angle, then any angle coterminal with θ is represented by this expression, where n is an integer, θ + n(360).
- 5. Example 1: θ = 150 A. Draw the angle θ in standard position. B. Find an angle which is coterminal with θ. C. Write an expression to represent any angle coterminal with θ.
- 6. What is reference angle? For any angle θ in standard position, its reference angle (or related angle) is the acute angle formed by the terminal side of θ and the x-axis.
- 7. Find the reference angle for each angle: 1. 150 2. -280 3. 472