Answer:
B) [tex]-1+cos\theta[/tex]
Step-by-step explanation:
[tex](tan(\frac{\theta}{2}))(-sin\theta)[/tex]
[tex](\frac{1-cos\theta}{sin\theta})(-sin\theta)[/tex]
[tex](\frac{-sin\theta+sin\theta cos\theta}{sin\theta})[/tex]
[tex]-1+cos\theta[/tex]
Therefore, option B is correct
Helpful Tips:
Half-Angle Formula: [tex]tan(\frac{\theta}{2})= \frac{1-cos\theta}{sin\theta}=\frac{sin\theta}{1+cos\theta}=\pm\sqrt{\frac{1+cos\theta}{2}}[/tex]
