Final Answer:
The reference angle to theta, given theta = 226⁰ IS
a) 134⁰
Step-by-step explanation:
The reference angle to θ is found by determining the acute angle between the terminal side of the angle θ and the x-axis. To find this in the case of θ = 226⁰, subtract the multiple of 360⁰ that brings the angle to the nearest revolution. In this case, 226⁰ - 1 × 360⁰ = -134⁰. Since the reference angle is always positive, the absolute value of -134⁰ is 134⁰. Therefore, the correct answer is a) 134⁰.
In trigonometry, reference angles are used to simplify calculations involving angles outside the standard range of 0⁰ to 360⁰. The reference angle is always positive, and it helps in finding the corresponding values of trigonometric functions. In this case, the reference angle to θ = 226⁰ is found by subtracting the multiple of 360⁰ that brings the angle to the nearest revolution, resulting in a reference angle of 134⁰.
In conclusion, when given an angle θ = 226⁰, the reference angle is found by subtracting the multiple of 360⁰ that brings the angle to the nearest revolution. In this case, the reference angle is 134⁰, and the correct answer is a) 134⁰.