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Olenka [21]
3 years ago
9

Which expression is equivalent to (tan(θ/2))(sin θ)

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Answer:

B) -1+cos\theta

Step-by-step explanation:

(tan(\frac{\theta}{2}))(-sin\theta)

(\frac{1-cos\theta}{sin\theta})(-sin\theta)

(\frac{-sin\theta+sin\theta cos\theta}{sin\theta})

-1+cos\theta

Therefore, option B is correct

<u>Helpful Tips:</u>

Half-Angle Formula: tan(\frac{\theta}{2})= \frac{1-cos\theta}{sin\theta}=\frac{sin\theta}{1+cos\theta}=\pm\sqrt{\frac{1+cos\theta}{2}}

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