The given expression is equivalent to (-1 + cosθ). Option B is correct.
What is trigonometry?
The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle.
The given data in the problem is;
[tex]\rightarrow \rm (tan(\frac{\theta}{2} )(-5sin\theta)\\\\ \rightarrow \frac{sin \frac{\theta}{2} }{cos \frac{\theta}{2}} \times - (2 sin n \frac{\theta}{2} \times {cos \frac{\theta}{2})[/tex]
[tex]\rightarrow - (2 sin ^2 \frac{\theta}{2})\\\\ -1+cos \theta[/tex]
The given expression is equivalent to (-1 + cosθ).
Hence,option B is correct.
To learn more about the trigonometry, refer to the link;
https://brainly.com/question/26719838
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