How do you use half angle formula to simplify $\frac{sin (3 π)}{8}$ $sin (3pi)/8$ ?

Question

How do you use half angle formula to simplify $\frac{sin (3 π)}{8}$ $sin (3pi)/8$ ?

1 Answer

Impact of this question

3734 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-23T11:06:17

The Half Angle Formula for Sin
$sin (θ) = 2 \cdot sin (\frac{θ}{2}) \cdot cos (\frac{θ}{2})$ $sin(theta) = 2*sin(theta/2)*cos(theta/2)$

Note that $\frac{3 π}{2}$ $(3pi)/2$
(in standard position, with the base side along the positive x-axis)
has its terminal side along the negative y-axis
and
$sin (\frac{3 π}{2}) = - 1$ $sin((3pi)/2) = -1$

$cos (\frac{3 π}{2}) = 0$ $cos((3pi)/2) = 0$

So
$sin (3 π) = \frac{2 \cdot (- 1) \cdot (0)}{8}$ $sin(3pi) = (2*(-1)*(0))/8$

$= 0$ $= 0$

Science

Math

Humanities

... and beyond

How do you use half angle formula to simplify $\frac{sin (3 π)}{8}$ $sin (3pi)/8$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you use half angle formula to simplify sin (3pi)/8sin(3π)8sin (3pi)/8?

1 Answer

Related questions

Impact of this question

How do you use half angle formula to simplify $\frac{sin (3 π)}{8}$ $sin (3pi)/8$ ?