Question

My answer does not match the calculator on finding the answer of sin(x/2) when tanx=1/2.

Answer 1

Here's an idea. Post the complete original question. Then post what you believe is the correct answer.

Answer 2

I'll try to be as consice as possible:

The formula for the half angle of sin is: \[\sqrt{\dfrac{1-\cos x}{2}}\]

Answer 3

I understand the normal procedure of finding the answer but it doesn't make that much sense, in fact, the answer I get from the formula is the answer the calculator gives me for cos(x/2).

Answer 4

If tanx=1/2 and pi<x<3pi/2, then cosx=-(2sqrt5)/5 and sinx=-(sqrt5)/5.

Answer 5

Now, by substituting, I would get something like sqrt((1-(-2sqrt5/5))/2) or sqrt((5+2sqrt5)/10)

Answer 6

Pumas campeón!

Answer 7

¡Campeón de campeones!