Determine the complete range of the function for all real .

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Determine the complete range of the function g(θ)=sin⁡θ+cos⁡θg(\theta)=\sin \theta+\cos \theta for all real θ\theta. (a) [−1,1][-1,1] (b) [−2,2][-2,2] (c) [−2, 2][-\sqrt 2,\, \sqrt 2] (d) (−2, 2)(-\sqrt 2,\, \sqrt 2)

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