For the function :

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

For the function g(θ)=sin⁡θ1+cos⁡θg(\theta)=\dfrac{\sin\theta}{1+\cos\theta}: (i) List all values of θ\theta in the interval 0≤θ<2π0\le \theta<2\pi at which g(θ)g(\theta) is not defined. (ii) Determine the range of g(θ)g(\theta).

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