Question

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

Answer 1

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

Helpful Tips:

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