Question

Review the proof (not in order) of the identity sin (x/2) = +- square root 1-cos(x)/2.
what is the sequence of steps?

1 2 3 4 5
1 2 4 3 5
1 4 2 3 5
1 4 3 2 5
​

Answer 1

Answer:

its C

Step-by-step explanation:

Answer 2

Answer: 1 4 2 3 5

Step-by-step explanation:

• To simplify :-$sin^{2} (\frac{x}{2} )=$±$\sqrt{\frac{1-cos(x)}{2} }$
• $sin^{2}(\frac{x}{2})=\frac{\frac{1}{sin(x)}-\frac{cos(x)}{sin(x)} }{\frac{2}{sin(x)} }$
• $sin^{2}(\frac{x}{2} )=\frac{\frac{1-cos(x)}{sin(x)} }{\frac{2}{sin(x)} }$
• $sin^{2}(\frac{x}{2} )=\frac{1-cos(x)}{2}$
• $sin^{2} (\frac{x}{2} )=$±$\sqrt{\frac{1-cos(x)}{2} }$
• Hence,to get the desired proving the steps must be numbered as 1,4,2,3 and 5.

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