bewellplus.gsu.edu
JeffreyFloria236 JeffreyFloria236
  • 15-07-2014
  • Mathematics
Answered

find the exact value by using a half-angle identity.

sin 22.5degrees

show your work. thanks!

Verified Answer :

luana
luana luana
  • 07-08-2014

\(sin( \frac{ \alpha }{2})=\sqrt{ \frac{1-cos\alpha}{2} }\\\alpha=45^\circ\\ sin(22,5)=\sqrt{ \frac{1-cos45}{2} }\\ sin(22,5)=\sqrt{ \frac{1-\frac{\sqrt2}{2}}{2} }\\ sin(22,5)=\sqrt{ \frac{2-\sqrt2}{2}*\frac{1}{2} }\\sin(22,5)=\sqrt{ \frac{2-\sqrt2}{4} }\)

Answer Link

Related Questions

what are the results of the Mexican war as far as slavery was concerned
The result of subtracting 2 from its opposite is 0 1 4 4
14 Which of these pronouns is third person plural posessive A Who B Theirs C They D That
The bag was filled with red marbles and blue marbles in the ratio of 57 If there were 180 marbles in the baghow many were red
Write the percent as a decimal 4 23 15 25
why creativity it is important
What is 3 root of 343
What actions led to conflict between colonists in New England and local American Indians
The goal of is to describe the strength of the relationship between two or more events or characteristics
20 cm 26 cm 42 mm Please show work